Transactions of the American Mathematical Society This journal is devoted entirely to research in pure and applied mathematics. Submission information. See Information for Authors at the end of this issue. Publisher Item Identifier. The Publisher Item Identifier (PII) appears at the top of the first page of each article published in this journal. This alphanumeric string of characters uniquely identifies each article and can be used for future cataloging, searching, and electronic retrieval. Postings to e-MATH. Articles are posted to e-MATH individually soon after proof is returned from authors and before appearing in an issue. Subscription information. Transactions of the American Mathematical Society is published monthly. Beginning in January 1996 Transactions is accessible from e-MATH via the World Wide Web at the URL http : //www.ams.org/publications/. Subscription prices for Volume 351 (1999) are as follows: for paper delivery, $1191 list, $953 institutional member, $1072 corporate member; for electronic delivery, $1072 list, $858 institutional member, $965 corporate member. Upon request, subscribers to paper delivery of this journal are also entitled to receive electronic delivery. If ordering the paper version, add $27 for surface delivery outside the United States and India; $50 to India. Expedited delivery to destinations in North America is $45; elsewhere $142. For paper delivery a late charge of 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Back number information. For back issues see the AMS Catalog of Publications. Subscriptions and orders should be addressed to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. All orders must be accompanied by payment. Other correspondence should be addressed to P.O. Box 6248, Providence, RI 02940-6248. Copying and reprinting. Material in this journal may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledgment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. Requests for permission for commercial use of material should be addressed to the Assistant to the Publisher, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248. Requests can also be made by e-mail to [email protected]. Excluded from these provisions is material in articles for which the author holds copy- right. In such cases, requests for permission to use or reprint should be addressed directly to the author(s). (Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of each article.)

Transactions of the American Mathematical Society is published monthly by the Amer- ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Periodicals postage is paid at Providence, Rhode Island. Postmaster: Send address changes to Trans- actions, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. c 1999 by the American Mathematical Society. All rights reserved. This journal is indexed in Science Citation Index r, Science Citation IndexTM–Expanded, ISI Alerting Services SM, CompuMath Citation Index r, and Current Contentsr/Physical, Chemical & Earth Sciences. Printed in the United States of America. ∞ The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. 10987654321 040302010099 INDEX TO VOLUME 351 (1999)

Akian, Marianne. Densities of idempotent measures and large deviations, 4515 Akin, Ethan. See Miller, Walter Alekseevsky, D. V., Marchiafava, S., and Pontecorvo, M. Compatible complex structures on al- most quaternionic manifolds, 997 Alemany, O. See Cominetti, R. Alikakos, Nicholas D., Bates, Peter W., and Chen, Xinfu. Periodic traveling waves and locating oscillating patterns in multidimensional domains, 2777 Alsed`a,Ll., Kolyada, S., Llibre, J., and Snoha, L∨ . Entropy and periodic points for transitive maps, 1551 Aluffi, Paolo. Chern classes for singular hypersurfaces, 3989 Andres, Jan, Gabor, Grzegorz, and G´orniewicz,Lech. Boundary value problems on infinite in- tervals, 4861 Andreu, F., Maz´on,J. M., Segura de Le´on,S., and Toledo, J. Existence and uniqueness for a degenerate parabolic equation with L1-data, 285 Arone, Greg. A generalization of Snaith-type filtration, 1123 Ayer, Elizabeth, and Strichartz, Robert S. Exact Hausdorff measure and intervals of maximum density for Cantor sets, 3725 Badea, C., and Mbekhta, M. Compressions of resolvents and maximal radius of regularity, 2949 Baranov, Alexander, and Kleshchev, Alexander. Maximal ideals in modular group algebras of the finitary symmetric and alternating groups, 595 Barbasch, Dan, and Moy, Allen. Classification of one K–type representations, 4245 Bates, Peter W. See Alikakos, Nicholas D. Baues, Hans-Joachim. Quadratic homology, 429 Baues, Oliver. Left-symmetric algebras for gl(n), 2979 Benson, D. J., and Wheeler, Wayne W. Direct sum decompositions of infinitely generated mod- ules, 3843 Berestovskii, Valera, Plaut, Conrad, and Stallman, Cornelius. Geometric groups. I, 1403 Bergamasco, Adalberto P. Remarks about global analytic hypoellipticity, 4113 Bergman, George M. Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups, 1531 Bessis, D. N., and Clarke, F. H. Partial subdifferentials, derivates and Rademacher’s Theorem, 2899 Bhatt, S. J., Inoue, A., and Ogi, H. Admissibility of weights on non-normed ∗-algebras, 4629 Black, Elena V. Deformations of dihedral 2-group extensions of fields, 3229 Blokh, Alexander, and Misiurewicz, Michal. Rotating an interval and a circle, 63 Bloom, T., and Levenberg, N. Capacity convergence results and applications to a Berstein- Markov inequality, 4753 Bohman, Tom. Discrete threshold growth dynamics are omnivorous for box neighborhoods, 947 B¨ottcher, Albrecht, and Karlovich, Yuri I. Toeplitz operators with pc symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights, 3143 Bourdon, P. S., Cima, J. A., and Matheson, A. L. Compact composition operators on BMOA, 2183 Bowditch, B. H. Connectedness properties of limit sets, 3673 Brega, Alfredo O. On the unitary dual of Spin(2n, C), 403 Brendle, J¨org,and Shelah, Saharon. Ultrafilters on ω—their ideals and their cardinal character- istics, 2643 Breˇsar,Matej, and Semrl,ˇ Peter. On locally linearly dependent operators and derivations, 1257 Britten, D. J., and Lemire, F. W. On modules of bounded multiplicities for the symplectic alge- bras, 3413 Bueler, Edward L. The heat kernel weighted Hodge Laplacian on noncompact manifolds, 683 Burdzy, Krzysztof, and Salisbury, Thomas S. On minimal parabolic functions and time-homogeneous parabolic h-transforms, 3499 Cardim, Nancy. Embeddings of open manifolds, 2353 Carlson, Robert. Inverse eigenvalue problems on directed graphs, 4069 do Carmo, Manfredo P., and Zhou, Detang. Eigenvalue estimate on complete noncompact Rie- mannian manifolds and applications, 1391 Castro, Alfonso, and Kuiper, Hendrik J. On the number of radially symmetric solutions to Dirichlet problems with jumping nonlinearities of superlinear order, 1919 INDEX TO VOLUME 351 (1999)

Chan, Kit C., and Cu˘ckovi´c,˘ Zeljko.˘ C∗-algebras generated by a subnormal operator, 1445 Chang, Der-Chen, Dafni, Galia, and Stein, Elias M. Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in Rn, 1605 Chatzidakis, Zo´e,and Hrushovski, Ehud. Model theory of difference fields, 2997 Chen, Chien-Hsiung. Warped products of metric spaces of curvature bounded from above, 4727 Chen, Kwang-Wu. See Eie, Minking Chen, Xinfu. See Alikakos, Nicholas D. Chiantini, L., and Ciliberto, C. Towards a Halphen theory of linear series on curves, 2197 Chinburg, Ted, Savage, Carla D., and Wilf, Herbert S. Combinatorial families that are exponen- tially far from being listable in Gray code sequence, 379 Cianchi, Andrea. Hardy inequalities in Orlicz spaces, 2459 Ciliberto, C. See Chiantini, L. Cima, J. A. See Bourdon, P. S. Ciocan-Fontanine, Ionut¸. The quantum cohomology ring of flag varieties, 2695 Clarke, F. H. See Bessis, D. N. Cohen, Daniel C., and Suciu, Alexander I. Alexander invariants of complex hyperplane arrange- ments, 4043 Collet, Pierre, Mart´ınez, Servet, and Schmitt, Bernard. On the enhancement of diffusion by chaos, escape rates and stochastic instability, 2875 Cominetti, R., and Alemany, O. Steepest descent evolution equations: asymptotic behavior of solutions and rate of convergence, 4847 Coornaert, Michel, and Papadopoulos, Athanase. Spherical functions and conformal densities on spherically symmetric CAT (−1)-spaces, 2745 Corlette, Kevin, and Iozzi, Alessandra. Limit sets of discrete groups of isometries of exotic hyperbolic spaces, 1507 Costa, Douglas L., and Keller, Gordon E. On the normal subgroups of G2(A), 5051 Coulhon, Thierry, and Duong, Xuan Thinh. Riesz transforms for 1 ≤ p ≤ 2, 1151 Crossley, M. D. Monomial bases for H∗(CP ∞ × CP ∞) over A(p), 171 Cu˘ckovi´c,˘ Zeljko.˘ See Chan, Kit C. Dafni, Galia. See Chang, Der-Chen Dajani, Karma, and Kraaikamp, Cor. A Gauss-Kusmin theorem for optimal continued fractions, 2055 Damelin, S. B., and Kuijlaars, A. B. J. The support of the equilibrium measure in the presence of a monomial external field on [−1, 1], 4561 D’Amour, Alain, and Racine, Michel. *-polynomial identities of matrices with the transpose involution: the low degrees, 5089 Deloup, Florian. Linking forms, reciprocity for Gauss sums and invariants of 3-manifolds, 1895 Denzler, Jochen. Windows of given area with minimal heat diffusion, 569 van Diejen, J. F. Properties of some families of hypergeometric orthogonal polynomials in several variables, 233 Ding, Hongming. Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces, 4205 Dooley, A. H., and Wildberger, N. J. Global character formulae for compact Lie groups, 477 Dorschfeldt, Ch., and Tarkhanov, N. N. Golubev series for solutions of elliptic equations, 581 Doty, Stephen. Representation theory of reductive normal algebraic monoids, 2539 Dougherty, Randall, and Hjorth, Greg. Reducibility and nonreducibility between ℓp equivalence relations, 1835 Dr¨axler,Peter, Reiten, Idun, Smalø, Sverre O., Solberg, Øyvind, and with an appendix by Keller, B. Exact categories and vector space categories, 647 Duong, Xuan Thinh. See Coulhon, Thierry Duursma, Iwan M. Weight distributions of geometric Goppa codes, 3609 Dykema, Kenneth J. Simplicity and the stable rank of some free product C∗–algebras, 1 Eie, Minking, and Chen, Kwang-Wu. A theorem on zeta functions associated with polynomials, 3217 Eisworth, Todd, and Roitman, Judith. CH with no Ostaszewski spaces, 2675 Elias, Juan. On the depth of the tangent cone and the growth of the Hilbert function, 4027 Evans, Steven N., and Williams, Ruth J. Transition operators of diffusions reduce zero–crossing, 1377 INDEX TO VOLUME 351 (1999)

Everitt, W. N., and Markus, L. Complex symplectic geometry with applications to ordinary differential operators, 4905 Fabes, E. B., Safonov, M. V., and Yuan, Yu. Behavior near the boundary of positive solutions of second order parabolic equations. II, 4947 Falcone, Tony, and Takesaki, Masamichi. Operator valued weights without structure theory, 323 Feˇckan, Michal. Chaotic solutions in differential inclusions: Chaos in dry friction problems, 2861 Foata, Dominique, and Zeilberger, Doron. A combinatorial proof of Bass’s evaluations of the Ihara-Selberg zeta function for graphs, 2257 Ford, Ben. Overgroups of irreducible linear groups, II, 3869 Fukuma, Yoshiaki. On sectional genus of quasi-polarized 3-folds, 363 Gabor, Grzegorz. See Andres, Jan Gammelin, H. Gorenstein space with nonzero evaluation map, 3433 Gan, Wee Teck. See Gross, Benedict H. Gatto, Letterio, and Ponza, Fabrizio. Derivatives of Wronskians with applications to families of special Weierstrass points, 2233 Geiss, Stefan. A counterexample concerning the relation between decoupling constants and UMD– constants, 1355 Geller, William, and Misiurewicz, Micha l. Rotation and entropy, 2927 Ghamsari, Manouchehr, and Herron, David A. Bilipschitz homogeneous Jordan curves, 3197 Gilbert, John E., and Nahmod, Andrea R. Hardy spaces and a Walsh model for bilinear cone operators, 3267 G´orniewicz,Lech. See Andres, Jan Graham, Ian, and Minda, David. A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points, 4741 Greenwood, Matt, and Lin, Xiao-Song. On Vassiliev knot invariants induced from finite type 3-manifold invariants, 3659 Grinfeld, M., and Novick-Cohen, A. The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor, 2375 Grispolakis, Joachim, Mayer, John C., and Oversteegen, Lex G. Building blocks for quadratic Julia sets, 1171 Gross, Benedict H., and Gan, Wee Teck. Haar measure and the Artin conductor, 1691 Guo, Li, and Shu, Linghsueh. Class numbers of cyclotomic function fields, 4445 Haruta, Mako E. Newton’s method on the complex exponential function, 2499 Hayashi, Nakao, and Naumkin, Pavel I. Large time asymptotics of solutions to the generalized Benjamin-Ono equation, 109 Heinig, Hans P., and Wang, Sichun. Maximal function estimates of solutions to general dispersive partial differential equations, 79 Herron, David A. See Ghamsari, Manouchehr Hjorth, Greg. See Dougherty, Randall Hjorth, Greg, and Solecki, Slawomir. Vaught’s conjecture and the Glimm-Effros property for Polish transformation groups, 2623 Hoffman, Christopher. A K counterexample machine, 4263 Hopkins, Nora C., and Kinyon, Michael K. Quadratic differential equations in Z2-graded alge- bras, 4545 Hrushovski, Ehud. See Chatzidakis, Zo´e Hu, Yueyun, Shi, Zhan, and Yor, Marc. Rates of convergence of diffusions with drifted Brownian potentials, 3915 Huang, Qingbo. Harnack inequality for the linearized parabolic Monge-Amp`ere equation, 2025 Hueter, Irene. Limit theorems for the convex hull of random points in higher dimensions, 4337 Hyry, Eero. The diagonal subring and the Cohen-Macaulay property of a multigraded ring, 2213 Inoue, A. See Bhatt, S. J. Intermont, Michele. An equivariant smash spectral sequence and an unstable box product, 2763 Iozzi, Alessandra. See Corlette, Kevin Iwase, Norio, Saito, Shiroshi, and Sumi, Toshio. Homology of the universal covering of a co-H- space, 4837 Izydorek, Marek. Bourgin–Yang type theorem and its application to Z2-equivariant Hamiltonian systems, 2807 INDEX TO VOLUME 351 (1999)

Jacquet, Herv´e,and Ye, Yangbo. Germs of Kloosterman integrals for GL(3), 1227 James, Donald G. Conjugacy classes of SU(h, OS ) in SL(2, OS ), 825 Ji, You Qing. Quasitriangular + small compact = strongly irreducible, 4657 Jia, Rong-Qing. Characterization of smoothness of multivariate refinable functions in Sobolev spaces, 4089 Jiang, Qingtang. Multivariate matrix refinable functions with arbitrary matrix dilation, 2407 Jiang, Yunping. Geometry of Cantor systems, 1975 Jing, Naihuan, and Misra, Kailash C. Vertex operators for twisted quantum affine algebras, 1663 Kaji, Hajime. Homogeneous projective varieties with degenerate secants, 533 Kalton, N. J., and Verbitsky, I. E. Nonlinear equations and weighted norm inequalities, 3441 Kang, Seok-Jin, and Kim, Myung-Hwan. Dimension formula for graded Lie algebras and its applications, 4281 Kappeler, T., and Mityagin, B. Gap estimates of the spectrum of Hill’s equation and action variables for KdV, 619 s Karaca, Ismet. The nilpotence height of Pt for odd primes, 547 Karlovich, Yuri I. See B¨ottcher, Albrecht Katsevich, A. I. Local tomography with nonsmooth attenuation, 1947 Keller, B. See Dr¨axler,Peter Keller, Gordon E. See Costa, Douglas L. Kharlampovich, O., Lioutikova, E., and Myasnikov, A. Equations in the Q–completion of a torsion–free hyperbolic group, 2961 Khoshnevisan, Davar. Brownian sheet images and Bessel–Riesz capacity, 2607 Kim, Jong Uhn. An Lp a priori estimate for the Tricomi equation in the upper half space, 4611 Kim, Myung-Hwan. See Kang, Seok-Jin Kinyon, Michael K. See Hopkins, Nora C. Kiriakouli, P. A classification of Baire-1 functions, 4599 Kleshchev, Alexander. See Baranov, Alexander Kolyada, S. See Alsed`a,Ll. Konyagin, S. V., and Schlag, W. Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle, 4963 Koszmider, Piotr. Forcing minimal extensions of Boolean algebras, 3073 Kovaˇcevi´c,Nataˇsa. Examples of M¨obius-likegroups which are not M¨obiusgroups, 4823 . M¨obius-likegroups of homeomorphisms of the circle, 4791 Kraaikamp, Cor. See Dajani, Karma Krattenthaler, C., and Prohaska, M. A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns, 1015 Kriloff, C. Some interesting nonspherical tempered representations of graded Hecke algebras, 4411 Kuijlaars, A. B. J. See Damelin, S. B. Kuiper, Hendrik J. See Castro, Alfonso Kunstmann, Peer Christian. Distribution semigroups and abstract Cauchy problems, 837 Laksov, Dan, and Thorup, Anders. These are the differentials of order n, 1293 Lang, Urs. Extendability of large-scale Lipschitz maps, 3975 Lani-Wayda, Bernhard. Erratic solutions of simple delay equations, 901 Lau, Anthony To-Ming, and Losert, Viktor. Ergodic sequences in the Fourier-Stieltjes algebra and measure algebra of a locally compact group, 417 Laurent, Michel, and Roy, Damien. Criteria of algebraic independence with multiplicities and interpolation determinants, 1845 Le, Maohua. On the diophantine equation (x3 − 1)/(x − 1) = (yn − 1)/(y − 1), 1063 Lemire, F. W. See Britten, D. J. Lettl, G¨unter, Peth˝o,Attila, and Voutier, Paul. Simple families of Thue inequalities, 1871 Levenberg, N. See Bloom, T. Levendorski˘ı,S. Z. Asymptotic formulae with remainder estimates for eigenvalue branches of the Schr¨odingeroperator H − λW in a gap of H, 857 Lin, Huaxin. When almost multiplicative morphisms are close to homomorphisms, 5027 Lin, Xiao-Song. See Greenwood, Matt Lioutikova, E. See Kharlampovich, O. Liu, Bin. The stability of the equilibrium of reversible systems, 515 INDEX TO VOLUME 351 (1999)

Liu, Keqin. The trace space and Kauffman’s knot invariants, 3823 Llibre, J. See Alsed`a,Ll. Losert, Viktor. See Lau, Anthony To-Ming Mai, Jiehua. Multi–separation, centrifugality and centripetality imply chaos, 343 . Scrambled sets of continuous maps of 1-dimensional polyhedra, 353 Marchiafava, S. See Alekseevsky, D. V. Markus, L. See Everitt, W. N. Martin, Greg. Dense Egyptian fractions, 3641 Mart´ınez,Servet. See Collet, Pierre Mashiko, Yukihiro. Convex functions on Alexandrov surfaces, 3549 Matheson, A. L. See Bourdon, P. S. Mauldin, R. Daniel, and Urba´nski,Mariusz. Conformal iterated function systems with applica- tions to the geometry of continued fractions, 4995 Mayer, John C. See Grispolakis, Joachim Maz´on,J. M. See Andreu, F. Mbekhta, M. See Badea, C. Melbourne, Ian. Steady-state bifurcation with Euclidean symmetry, 1575 Miao, Tianxuan. Decomposition of B(G), 4675 Michel, Joachim, and Shaw, Mei-Chi. The ∂ problem on domains with piecewise smooth bound- aries with applications, 4365 Mihalik, Michael L. Group extensions and tame pairs, 1095 Milinkovi´c,Darko. Morse homology for generating functions of Lagrangian submanifolds, 3953 Miller, Walter, and Akin, Ethan. Invariant measures for set-valued dynamical systems, 1203 Minami, Norihiko. Hecke algebras and cohomotopical Mackey functors, 4481 . The iterated transfer analogue of the new doomsday conjecture, 2325 Minc, Piotr. A weakly chainable tree-like continuum without the fixed point property, 1109 Minda, David. See Graham, Ian Misiurewicz, Micha l. See Blokh, Alexander . See Geller, William Misra, Kailash C. See Jing, Naihuan Mityagin, B. See Kappeler, T. Molev, Alexander I., and Sagan, Bruce E. A Littlewood-Richardson rule for factorial Schur functions, 4429 Montecchiari, Piero, Nolasco, Margherita, and Terracini, Susanna. A global condition for periodic Duffing-like equations, 3713 Morgan, Frank. The hexagonal honeycomb conjecture, 1753 Moussaoui, Mohammed, and Seeger, Alberto. Second-order subgradients of convex integral func- tionals, 3687 Moy, Allen. See Barbasch, Dan M¨uller,Stefan. A sharp version of Zhang’s theorem on truncating sequences of gradients, 4585 Murnaghan, Fiona, and Repka, Joe. Reducibility of some induced representations of p-adic uni- tary groups, 193 Myasnikov, A. See Kharlampovich, O. Nagel, Uwe. Arithmetically Buchsbaum divisors on varieties of minimal degree, 4381 Nahmod, Andrea R. See Gilbert, John E. Naumkin, Pavel I. See Hayashi, Nakao Newman, M. F., and O’Brien, E. A. Classifying 2-groups by coclass, 131 Nolasco, Margherita. See Montecchiari, Piero Novick-Cohen, A. See Grinfeld, M. O’Brien, E. A. See Newman, M. F. Oden, Kevin, Sung, Chiung-Jue, and Wang, Jiaping. Spectral gap estimates on compact mani- folds, 3533 Ogi, H. See Bhatt, S. J. Olafsson,´ G. , and Ørsted, B. Causal compactification and Hardy spaces, 3771 Ørsted, B. See Olafsson,´ G. Oversteegen, Lex G. See Grispolakis, Joachim r Pandharipande, Rahul. Intersections of Q-divisors on Kontsevich’s moduli space M 0,n(P , d) and enumerative geometry, 1481 INDEX TO VOLUME 351 (1999)

Papadopoulos, Athanase. See Coornaert, Michel de la Pe˜na,J. A., and Takane, M. On the number of terms in the middle of almost split sequences over tame algebras, 3857 P´erez,Joaqu´ın, and Ros, Antonio. The space of complete minimal surfaces with finite total curvature as lagrangian submanifold, 3935 Peth˝o,Attila. See Lettl, G¨unter Plaut, Conrad. See Berestovskii, Valera Pollicott, M., and Yuri, M. Regularity of solutions to the measurable Livsic equation, 559 Polyrakis, Ioannis A. Minimal lattice-subspaces, 4183 Pontecorvo, M. See Alekseevsky, D. V. Ponza, Fabrizio. See Gatto, Letterio Praggastis, Brenda. Numeration systems and Markov partitions from self similar tilings, 3315 Prohaska, M. See Krattenthaler, C. Przytycki, Feliks. Conical limit set and Poincar´eexponent for iterations of rational functions, 2081 Pumpl¨un,S. Composition algebras over rings of genus zero, 1277 Qu, C. K., and Wong, R. “Best possible” upper and lower bounds for the zeros of the Bessel function Jν (x), 2833 Racine, Michel. See D’Amour, Alain Radin, Charles, and Sadun, Lorenzo. On 2-generator subgroups of SO(3), 4469 Reiten, Idun. See Dr¨axler,Peter Remling, Christian. Embedded singular continuous spectrum for one-dimensional Schr¨odinger operators, 2479 Repka, Joe. See Murnaghan, Fiona Roberts, Brooks. The nonarchimedean theta correspondence for GSp(2) and GO(4), 781 Roitman, Judith. See Eisworth, Todd Roper, Kevin A., and Suffridge, Ted J. Convexity properties of holomorphic mappings in Cn, 1803 Ros, Antonio. See P´erez,Joaqu´ın Roy, Damien. See Laurent, Michel Sadun, Lorenzo. See Radin, Charles Sa Earp, Ricardo, and Toubiana, Eric. Symmetry of properly embedded special Weingarten sur- faces in H3, 4693 Safonov, M. V. See Fabes, E. B. Sagan, Bruce E. See Molev, Alexander I. Saito, Shiroshi. See Iwase, Norio Salisbury, Thomas S. See Burdzy, Krzysztof Savage, Carla D. See Chinburg, Ted Scharlau, Rudolf, and Tiep, Pham Huu. Symplectic group lattices, 2101 Schimmerling, E., and Steel, J. R. The maximality of the core model, 3119 Schlag, W. See Konyagin, S. V. Schlesinger, Enrico. A speciality theorem for Cohen-Macaulay space curves, 2731 Schmitt, Bernard. See Collet, Pierre Seeger, Alberto. See Moussaoui, Mohammed Seeger, Andreas, Wainger, Stephen, Wright, James, and Ziesler, Sarah. Classes of singular inte- grals along curves and surfaces, 3757 Segura de Le´on,S. See Andreu, F. Semrl,ˇ Peter. See Breˇsar,Matej Shalev, Aner. On the degree of groups of polynomial subgroup growth, 3793 Shalom, Yehuda. Invariant measures for algebraic actions, Zariski dense subgroups and Kazh- dan’s property (T ), 3387 Shaw, Mei-Chi. See Michel, Joachim She, Xiaotie. On the non-vanishing of cubic twists of automorphic L-series, 1075 Sheats, Jeffrey T. A symplectic jeu de taquin bijection between the tableaux of King and of De Concini, 3569 Shelah, Saharon. See Brendle, J¨org Shi, Zhan. See Hu, Yueyun INDEX TO VOLUME 351 (1999)

Shiga, Hiroshige, and Tanigawa, Harumi. Projective structures with discrete holonomy represen- tations, 813 Shima, Hirohiko. Homogeneous spaces with invariant projectively flat affine connections, 4713 Shioya, Takashi. The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature, 1765 Shpigel, Miron. The ideal structure of some analytic crossed products, 2515 Shu, Linghsueh. See Guo, Li Sikora, Adam. On the L2 → L∞ norms of spectral multipliers of “quasi-homogeneous” operators on homogeneous groups, 3743 Silver, Daniel S., and Williams, Susan G. Knot invariants from symbolic dynamical systems, 3243 Sims, Brailey, and Smyth, Michael A. On some Banach space properties sufficient for weak normal structure and their permanence properties, 497 Sj¨ogren,Peter. An estimate for a first-order Riesz operator on the affine group, 3301 Skowro´nski, Andrzej, and Yamagata, Kunio. Galois coverings of selfinjective algebras by repeti- tive algebras, 715 Smalø, Sverre O. See Dr¨axler,Peter Smyth, Michael A. See Sims, Brailey Snoha, L∨ . See Alsed`a,Ll. Solberg, Øyvind. See Dr¨axler,Peter Solecki, Slawomir. See Hjorth, Greg Sowers, Richard B., and Wu, Jang-Mei. Thermal capacity estimates on the Allen-Cahn equation, 2553 Stallman, Cornelius. See Berestovskii, Valera Steel, J. R. See Schimmerling, E. Stein, Elias M. See Chang, Der-Chen Stepr¯ans,Juris. Decomposing Euclidean space with a small number of smooth sets, 1461 Strichartz, Robert S. Isoperimetric estimates on Sierpinski gasket type fractals, 1705 . See Ayer, Elizabeth Strickland, N. P. Products on MU-modules, 2569 Suciu, Alexander I. See Cohen, Daniel C. Suffridge, Ted J. See Roper, Kevin A. Sumi, Naoya. Diffeomorphisms approximated by Anosov on the 2-torus and their SBR measures, 3373 Sumi, Toshio. See Iwase, Norio Sung, Chiung-Jue. See Oden, Kevin Takane, M. See de la Pe˜na,J. A. Takase, Koichi. On Siegel modular forms of half-integral weights and Jacobi forms, 735 Takesaki, Masamichi. See Falcone, Tony Tanigawa, Harumi. See Shiga, Hiroshige Tarkhanov, N. N. See Dorschfeldt, Ch. Terracini, Susanna. See Montecchiari, Piero Thaine, F. On the coefficients of Jacobi sums in prime cyclotomic fields, 4769 Thorup, Anders. See Laksov, Dan Tiep, Pham Huu. See Scharlau, Rudolf Toledo, J. See Andreu, F. Toth, Gabor. Universal constraints on the range of eigenmaps and spherical minimal immer- sions, 1423 Toubiana, Eric. See Sa Earp, Ricardo Urba´nski,Mariusz. See Mauldin, R. Daniel Vardy, Alexander. Density doubling, double-circulants, and new sphere packings, 271 Verbitsky, I. E. See Kalton, N. J. Voln´y,Dalibor. Invariance principles and Gaussian approximation for strictly stationary pro- cesses, 3351 Voutier, Paul. See Lettl, G¨unter Vulakh, L. Ya. Farey polytopes and continued fractions associated with discrete hyperbolic groups, 2295 Waas, Kerstin. On graphs with a metric end space, 1043 INDEX TO VOLUME 351 (1999)

Wagner, Joyce. An algorithm for calculating the Nielsen number on surfaces with boundary, 41 Wai, Hon-kit. Witten-Helffer-Sj¨ostrand theory for S1-equivariant cohomology, 2141 Wainger, Stephen. See Seeger, Andreas Wang, Duo. See Wang, Xiaofeng Wang, Jiaping. See Oden, Kevin Wang, Sichun. See Heinig, Hans P. Wang, Xiaofeng, and Wang, Duo. The C1 closing lemma for nonsingular endomorphisms equi- variant under free actions of finite groups, 4173 Watson, David K., and Wheeden, Richard L. Norm estimates and representations for Calder´on- Zygmund operators using averages over starlike sets, 4127 Webster, Corran, and Winkler, Soren. The Krein-Milman theorem in operator convexity, 307 Wheeden, Richard L. See Watson, David K. Wheeler, Wayne W. See Benson, D. J. Wildberger, N. J. See Dooley, A. H. Wilf, Herbert S. See Chinburg, Ted Williams, Ruth J. See Evans, Steven N. Williams, Susan G. See Silver, Daniel S. Winkler, Soren. See Webster, Corran Wong, R. See Qu, C. K. Wright, James. See Seeger, Andreas Wrobel, Volker. Optimal individual stability estimates for C0-semigroups in Banach spaces, 4981 Wu, Jang-Mei. See Sowers, Richard B. Wu, Ying-Qing. Dehn surgery on arborescent links, 2275 Xia, Jingbo. On the contribution of the Coulomb singularity of arbitrary charge to the Dirac Hamiltonian, 1989 Xu, Yuan. Summability of Fourier orthogonal series for Jacobi weight on a ball in Rd, 2439 Yamagata, Kunio. See Skowro´nski, Andrzej Ye, Yangbo. See Jacquet, Herv´e Yor, Marc. See Hu, Yueyun Yuan, Yu. See Fabes, E. B. Yuri, M. See Pollicott, M. Zaslavski, A. J. Turnpike property for extremals of variational problems with vector-valued func- tions, 211 Zeilberger, Doron. See Foata, Dominique Zhang, Gaoyong. Dual kinematic formulas, 985 Zhou, Detang. See do Carmo, Manfredo P. Ziesler, Sarah. See Seeger, Andreas TITLE PAGE

M THE ATI A CA M L ΤΡΗΤΟΣ ΜΗ

N ΕΙΣΙΤΩ S A O

C C I

I

R E

E T

VOLUME 351 ΑΓΕΩΜΕ

Y 1999

M A

F O 8 U 88 NDED 1 RANSACTIONS TOF THE

A M E R I C A N M A T H E M A T I C A L S O C I E T Y

EDITED BY Rodrigo Banuelos~ William Beckner Bruce E. Blackadar Daniel M. Burns Charles W. Curtis Lawrence Ein Philip J. Hanlon Barbara Lee Keyfitz John Luecke John Mallet-Paret Stewart Priddy Peter Shalen, Managing Editor Alice Silverberg Theodore Slaman Robert J. Stanton Chuu-Lian Terng Robert F. Williams

PROVIDENCE, RHODE ISLAND USA ISSN 0002-9947 Transactions of the American Mathematical Society This journal is devoted entirely to research in pure and applied mathematics. Submission information. See Information for Authors at the end of this issue. Publisher Item Identifier. The Publisher Item Identifier (PII) appears at the top of the first page of each article published in this journal. This alphanumeric string of characters uniquely identifies each article and can be used for future cataloging, searching, and electronic retrieval. Postings to e-MATH. Articles are posted to e-MATH individually soon after proof is returned from authors and before appearing in an issue. Subscription information. Transactions of the American Mathematical Society is published monthly. Beginning in January 1996 Transactions is accessible from e-MATH via the World Wide Web at the URL http : //www.ams.org/publications/. Subscription prices for Volume 351 (1999) are as follows: for paper delivery, $1191 list, $953 institutional member, $1072 corporate member; for electronic delivery, $1072 list, $858 institutional member, $965 corporate member. Upon request, subscribers to paper delivery of this journal are also entitled to receive electronic delivery. If ordering the paper version, add $27 for surface delivery outside the United States and India; $50 to India. Expedited delivery to destinations in North America is $45; elsewhere $142. For paper delivery a late charge of 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Back number information. For back issues see the AMS Catalog of Publications. Subscriptions and orders should be addressed to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. All orders must be accompanied by payment. Other correspondence should be addressed to P.O. Box 6248, Providence, RI 02940-6248. Copying and reprinting. Material in this journal may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledgment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. Requests for permission for commercial use of material should be addressed to the Assistant to the Publisher, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248. Requests can also be made by e-mail to [email protected]. Excluded from these provisions is material in articles for which the author holds copy- right. In such cases, requests for permission to use or reprint should be addressed directly to the author(s). (Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of each article.)

Transactions of the American Mathematical Society is published monthly by the Amer- ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Periodicals postage is paid at Providence, Rhode Island. Postmaster: Send address changes to Trans- actions, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. c 1999 by the American Mathematical Society. All rights reserved. This journal is indexed in Science Citation Index r, Science Citation IndexTM–Expanded, ISI Alerting Services SM, CompuMath Citation Index r, and Current Contentsr/Physical, Chemical & Earth Sciences. Printed in the United States of America. ∞ The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. 10987654321 040302010099 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY CONTENTS Vol. 351, No. 1 Whole No. 764 January 1999

Kenneth J. Dykema, Simplicity and the stable rank of some free product C∗–algebras ...... 1 Joyce Wagner, An algorithm for calculating the Nielsen number on surfaces with boundary ...... 41 Alexander Blokh and Michal Misiurewicz, Rotating an interval and a circle ...... 63 Hans P. Heinig and Sichun Wang, Maximal function estimates of solutions to general dispersive partial differential equations ...... 79 Nakao Hayashi and Pavel I. Naumkin, Large time asymptotics of solutions to the generalized Benjamin-Ono equation ...... 109 M. F. Newman and E. A. O’Brien, Classifying 2-groups by coclass . . . . 131 M. D. Crossley, Monomial bases for H∗(CP ∞ × CP ∞) over A(p) ...... 171 Fiona Murnaghan and Joe Repka, Reducibility of some induced representations of p-adic unitary groups ...... 193 A. J. Zaslavski, Turnpike property for extremals of variational problems with vector-valued functions ...... 211 J. F. van Diejen, Properties of some families of hypergeometric orthogonal polynomials in several variables ...... 233 Alexander Vardy, Density doubling, double-circulants, and new sphere packings ...... 271 F. Andreu, J. M. Maz´on,S. Segura de Le´on,and J. Toledo, Existence and uniqueness for a degenerate parabolic equation with L1-data . . . . . 285 Corran Webster and Soren Winkler, The Krein-Milman theorem in operator convexity ...... 307 Tony Falcone and Masamichi Takesaki, Operator valued weights without structure theory ...... 323 JiehuaMai, Multi–separation, centrifugality and centripetality imply chaos . . 343 Jiehua Mai, Scrambled sets of continuous maps of 1-dimensional polyhedra . . 353 Yoshiaki Fukuma, On sectional genus of quasi-polarized 3-folds ...... 363 Ted Chinburg, Carla D. Savage, and Herbert S. Wilf, Combinatorial families that are exponentially far from being listable in Gray code sequence ...... 379 Alfredo O. Brega, On the unitary dual of Spin(2n, C) ...... 403 Anthony To-Ming Lau and Viktor Losert, Ergodic sequences in the Fourier-Stieltjes algebra and measure algebra of a locally compact group 417

Vol. 351, No. 2 Whole No. 765 February 1999

Hans-Joachim Baues, Quadratic homology ...... 429 A. H. Dooley and N. J. Wildberger, Global character formulae for compact Lie groups ...... 477 Brailey Sims and Michael A. Smyth, On some Banach space properties sufficient for weak normal structure and their permanence properties . 497 Bin Liu, The stability of the equilibrium of reversible systems ...... 515 Hajime Kaji, Homogeneous projective varieties with degenerate secants . . 533 s Ismet Karaca, The nilpotence height of Pt for odd primes ...... 547 M. Pollicott and M. Yuri, Regularity of solutions to the measurable Livsic equation ...... 559 Jochen Denzler, Windows of given area with minimal heat diffusion . . . . . 569 Ch. Dorschfeldt and N. N. Tarkhanov, Golubev series for solutions of elliptic equations ...... 581 Alexander Baranov and Alexander Kleshchev, Maximal ideals in modular group algebras of the finitary symmetric and alternating groups 595 T. Kappeler and B. Mityagin, Gap estimates of the spectrum of Hill’s equation and action variables for KdV ...... 619 Peter Dr¨axler, Idun Reiten, Sverre O. Smalø, Øyvind Solberg, and with an appendix by B. Keller, Exact categories and vector space categories ...... 647 Edward L. Bueler, The heat kernel weighted Hodge Laplacian on noncompact manifolds ...... 683 Andrzej Skowro´nski and Kunio Yamagata, Galois coverings of selfinjective algebras by repetitive algebras ...... 715 Koichi Takase, On Siegel modular forms of half-integral weights and Jacobi forms ...... 735 Brooks Roberts, The nonarchimedean theta correspondence for GSp(2) and GO(4) ...... 781 Hiroshige Shiga and Harumi Tanigawa, Projective structures with discrete holonomy representations ...... 813 Donald G. James, Conjugacy classes of SU(h, OS) in SL(2, OS) ...... 825 Peer Christian Kunstmann, Distribution semigroups and abstract Cauchy problems ...... 837

Vol. 351, No. 3 Whole No. 766 March 1999

S. Z. Levendorski˘ı, Asymptotic formulae with remainder estimates for eigenvalue branches of the Schr¨odingeroperator H − λW in a gap of H 857 Bernhard Lani-Wayda, Erratic solutions of simple delay equations ...... 901 Tom Bohman, Discrete threshold growth dynamics are omnivorous for box neighborhoods ...... 947 Gaoyong Zhang, Dual kinematic formulas ...... 985 D. V. Alekseevsky, S. Marchiafava, and M. Pontecorvo, Compatible complex structures on almost quaternionic manifolds ...... 997 C. Krattenthaler and M. Prohaska, A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns ...... 1015 Kerstin Waas, On graphs with a metric end space ...... 1043 Maohua Le, On the diophantine equation (x3 −1)/(x−1) = (yn −1)/(y −1) 1063 Xiaotie She, On the non-vanishing of cubic twists of automorphic L-series 1075 Michael L. Mihalik, Group extensions and tame pairs ...... 1095 Piotr Minc, A weakly chainable tree-like continuum without the fixed point property ...... 1109 Greg Arone, A generalization of Snaith-type filtration ...... 1123 Thierry Coulhon and Xuan Thinh Duong, Riesz transforms for 1 ≤ p ≤ 2 ...... 1151 Joachim Grispolakis, John C. Mayer, and Lex G. Oversteegen, Building blocks for quadratic Julia sets ...... 1171 Walter Miller and Ethan Akin, Invariant measures for set-valued dynamical systems ...... 1203 Herv´e Jacquet and Yangbo Ye, Germs of Kloosterman integrals for GL(3) ...... 1227 Matej Breˇsar and Peter Semrl,ˇ On locally linearly dependent operators and derivations ...... 1257 S. Pumpl¨un, Composition algebras over rings of genus zero ...... 1277

Vol. 351, No. 4 Whole No. 767 April 1999

Dan Laksov and Anders Thorup, These are the differentials of order n 1293 Stefan Geiss, A counterexample concerning the relation between decoupling constants and UMD–constants ...... 1355 Steven N. Evans and Ruth J. Williams, Transition operators of diffusions reduce zero–crossing ...... 1377 Manfredo P. do Carmo and Detang Zhou, Eigenvalue estimate on complete noncompact Riemannian manifolds and applications ...... 1391 Valera Berestovskii, Conrad Plaut, and Cornelius Stallman, Geometric groups. I ...... 1403 Gabor Toth, Universal constraints on the range of eigenmaps and spherical minimal immersions ...... 1423 Kit C. Chan and Zeljko˘ Cu˘ckovi´c,˘ C∗-algebras generated by a subnormal operator ...... 1445 Juris Stepr¯ans, Decomposing Euclidean space with a small number of smooth sets ...... 1461 Rahul Pandharipande, Intersections of Q-divisors on Kontsevich’s moduli r space M 0,n(P , d) and enumerative geometry ...... 1481 Kevin Corlette and Alessandra Iozzi, Limit sets of discrete groups of isometries of exotic hyperbolic spaces ...... 1507 George M. Bergman, Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups ...... 1531 Ll. Alsed`a,S. Kolyada, J. Llibre, and L∨. Snoha, Entropy and periodic points for transitive maps ...... 1551 Ian Melbourne, Steady-state bifurcation with Euclidean symmetry ...... 1575 Der-Chen Chang, Galia Dafni, and Elias M. Stein, Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in Rn ...... 1605 Naihuan Jing and Kailash C. Misra, Vertex operators for twisted quantum affine algebras ...... 1663 Benedict H. Gross and Wee Teck Gan, Haar measure and the Artin conductor ...... 1691

Vol. 351, No. 5 Whole No. 768 May 1999

Robert S. Strichartz, Isoperimetric estimates on Sierpinski gasket type fractals ...... 1705 Frank Morgan, The hexagonal honeycomb conjecture ...... 1753 Takashi Shioya, The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature ...... 1765 Kevin A. Roper and Ted J. Suffridge, Convexity properties of holomorphic mappings in Cn ...... 1803 Randall Dougherty and Greg Hjorth, Reducibility and nonreducibility between ℓp equivalence relations ...... 1835 Michel Laurent and Damien Roy, Criteria of algebraic independence with multiplicities and interpolation determinants ...... 1845 G¨unter Lettl, Attila Peth˝o,and Paul Voutier, Simple families of Thue inequalities ...... 1871 Florian Deloup, Linking forms, reciprocity for Gauss sums and invariants of 3-manifolds ...... 1895 Alfonso Castro and Hendrik J. Kuiper, On the number of radially symmetric solutions to Dirichlet problems with jumping nonlinearities of superlinear order ...... 1919 A. I. Katsevich, Local tomography with nonsmooth attenuation ...... 1947 Yunping Jiang, Geometry of Cantor systems ...... 1975 Jingbo Xia, On the contribution of the Coulomb singularity of arbitrary charge to the Dirac Hamiltonian ...... 1989 Qingbo Huang, Harnack inequality for the linearized parabolic Monge- Amp`ereequation ...... 2025 Karma Dajani and Cor Kraaikamp, A Gauss-Kusmin theorem for optimal continued fractions ...... 2055 Feliks Przytycki, Conical limit set and Poincar´eexponent for iterations of rational functions ...... 2081 Rudolf Scharlau and Pham Huu Tiep, Symplectic group lattices . . . . . 2101

Vol. 351, No. 6 Whole No. 769 June 1999

Hon-kit Wai, Witten-Helffer-Sj¨ostrandtheory for S1-equivariant cohomol- ogy ...... 2141 P. S. Bourdon, J. A. Cima, and A. L. Matheson, Compact composition operators on BMOA ...... 2183 L. Chiantini and C. Ciliberto, Towards a Halphen theory of linear series on curves ...... 2197 Eero Hyry, The diagonal subring and the Cohen-Macaulay property of a multigraded ring ...... 2213 Letterio Gatto and Fabrizio Ponza, Derivatives of Wronskians with applications to families of special Weierstrass points ...... 2233 Dominique Foata and Doron Zeilberger, A combinatorial proof of Bass’s evaluations of the Ihara-Selberg zeta function for graphs ...... 2257 Ying-Qing Wu, Dehn surgery on arborescent links ...... 2275 L. Ya. Vulakh, Farey polytopes and continued fractions associated with discrete hyperbolic groups ...... 2295 Norihiko Minami, The iterated transfer analogue of the new doomsday conjecture ...... 2325 Nancy Cardim, Embeddings of open manifolds ...... 2353 M. Grinfeld and A. Novick-Cohen, The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor ...... 2375 Qingtang Jiang, Multivariate matrix refinable functions with arbitrary matrix dilation ...... 2407 Yuan Xu, Summability of Fourier orthogonal series for Jacobi weight on a ball in Rd ...... 2439 Andrea Cianchi, Hardy inequalities in Orlicz spaces ...... 2459 Christian Remling, Embedded singular continuous spectrum for one- dimensional Schr¨odingeroperators ...... 2479 Mako E. Haruta, Newton’s method on the complex exponential function 2499 Miron Shpigel, The ideal structure of some analytic crossed products . . . . 2515 Stephen Doty, Representation theory of reductive normal algebraic monoids ...... 2539 Richard B. Sowers and Jang-Mei Wu, Thermal capacity estimates on the Allen-Cahn equation ...... 2553

Vol. 351, No. 7 Whole No. 770 July 1999

N. P. Strickland, Products on MU-modules ...... 2569 Davar Khoshnevisan, Brownian sheet images and Bessel–Riesz capacity . 2607 Greg Hjorth and Slawomir Solecki, Vaught’s conjecture and the Glimm- Effros property for Polish transformation groups ...... 2623 J¨orgBrendle and Saharon Shelah, Ultrafilters on ω—their ideals and their cardinal characteristics ...... 2643 Todd Eisworth and Judith Roitman, CH with no Ostaszewski spaces . 2675 Ionut¸Ciocan-Fontanine, The quantum cohomology ring of flag varieties 2695 Enrico Schlesinger, A speciality theorem for Cohen-Macaulay space curves 2731 Michel Coornaert and Athanase Papadopoulos, Spherical functions and conformal densities on spherically symmetric CAT (−1)-spaces ...... 2745 Michele Intermont, An equivariant smash spectral sequence and an unstable box product ...... 2763 Nicholas D. Alikakos, Peter W. Bates, and Xinfu Chen, Periodic traveling waves and locating oscillating patterns in multidimensional domains ...... 2777

Marek Izydorek, Bourgin–Yang type theorem and its application to Z2- equivariant Hamiltonian systems ...... 2807 C. K. Qu and R. Wong, “Best possible” upper and lower bounds for the zeros of the Bessel function Jν (x) ...... 2833 Michal Feˇckan, Chaotic solutions in differential inclusions: Chaos in dry friction problems ...... 2861 Pierre Collet, Servet Mart´ınez, and Bernard Schmitt, On the enhancement of diffusion by chaos, escape rates and stochastic instability ...... 2875 D. N. Bessis and F. H. Clarke, Partial subdifferentials, derivates and Rademacher’s Theorem ...... 2899 William Geller and Micha lMisiurewicz, Rotation and entropy ...... 2927 C. Badea and M. Mbekhta, Compressions of resolvents and maximal radius of regularity ...... 2949 O. Kharlampovich, E. Lioutikova, and A. Myasnikov, Equations in the Q–completion of a torsion–free hyperbolic group ...... 2961 Oliver Baues, Left-symmetric algebras for gl(n) ...... 2979

Vol. 351, No. 8 Whole No. 771 August 1999

Zo´eChatzidakis and Ehud Hrushovski, Model theory of difference fields 2997 Piotr Koszmider, Forcing minimal extensions of Boolean algebras ...... 3073 E. Schimmerling and J. R. Steel, The maximality of the core model . . . 3119 Albrecht B¨ottcher and Yuri I. Karlovich, Toeplitz operators with pc symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights ...... 3143 Manouchehr Ghamsari and David A. Herron, Bilipschitz homogeneous Jordan curves ...... 3197 Minking Eie and Kwang-Wu Chen, A theorem on zeta functions associated with polynomials ...... 3217 Elena V. Black, Deformations of dihedral 2-group extensions of fields . . . . 3229 Daniel S. Silver and Susan G. Williams, Knot invariants from symbolic dynamical systems ...... 3243 John E. Gilbert and Andrea R. Nahmod, Hardy spaces and a Walsh model for bilinear cone operators ...... 3267 Peter Sj¨ogren, An estimate for a first-order Riesz operator on the affine group ...... 3301 Brenda Praggastis, Numeration systems and Markov partitions from self similar tilings ...... 3315 Dalibor Voln´y, Invariance principles and Gaussian approximation for strictly stationary processes ...... 3351 Naoya Sumi, Diffeomorphisms approximated by Anosov on the 2-torus and their SBR measures ...... 3373 Yehuda Shalom, Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T ) ...... 3387 D. J. Britten and F. W. Lemire, On modules of bounded multiplicities for the symplectic algebras ...... 3413 H. Gammelin, Gorenstein space with nonzero evaluation map ...... 3433

Vol. 351, No. 9 Whole No. 772 September 1999

N. J. Kalton and I. E. Verbitsky, Nonlinear equations and weighted norm inequalities ...... 3441 Krzysztof Burdzy and Thomas S. Salisbury, On minimal parabolic functions and time-homogeneous parabolic h-transforms ...... 3499 Kevin Oden, Chiung-Jue Sung, and Jiaping Wang, Spectral gap estimates on compact manifolds ...... 3533 Yukihiro Mashiko, Convex functions on Alexandrov surfaces ...... 3549 Jeffrey T. Sheats, A symplectic jeu de taquin bijection between the tableaux of King and of De Concini ...... 3569 Iwan M. Duursma, Weight distributions of geometric Goppa codes ...... 3609 Greg Martin, Dense Egyptian fractions ...... 3641 Matt Greenwood and Xiao-Song Lin, On Vassiliev knot invariants induced from finite type 3-manifold invariants ...... 3659 B. H. Bowditch, Connectedness properties of limit sets ...... 3673 Mohammed Moussaoui and Alberto Seeger, Second-order subgradients of convex integral functionals ...... 3687 Piero Montecchiari, Margherita Nolasco, and Susanna Terracini, A global condition for periodic Duffing-like equations ...... 3713 Elizabeth Ayer and Robert S. Strichartz, Exact Hausdorff measure and intervals of maximum density for Cantor sets ...... 3725 Adam Sikora, On the L2 → L∞ norms of spectral multipliers of “quasi- homogeneous” operators on homogeneous groups ...... 3743 Andreas Seeger, Stephen Wainger, James Wright, and Sarah Ziesler, Classes of singular integrals along curves and surfaces ...... 3757 G. Olafsson´ and B. Ørsted, Causal compactification and Hardy spaces . . . 3771 Aner Shalev, On the degree of groups of polynomial subgroup growth . . . . 3793 Keqin Liu, The trace space and Kauffman’s knot invariants ...... 3823 D. J. Benson and Wayne W. Wheeler, Direct sum decompositions of infinitely generated modules ...... 3843 J. A. de la Pe˜naand M. Takane, On the number of terms in the middle of almost split sequences over tame algebras ...... 3857 Vol. 351, No. 10 Whole No. 773 October 1999

Ben Ford, Overgroups of irreducible linear groups, II ...... 3869 Yueyun Hu, Zhan Shi, and Marc Yor, Rates of convergence of diffusions with drifted Brownian potentials ...... 3915 Joaqu´ınP´erezand Antonio Ros, The space of complete minimal surfaces with finite total curvature as lagrangian submanifold ...... 3935 Darko Milinkovi´c, Morse homology for generating functions of Lagrangian submanifolds ...... 3953 Urs Lang, Extendability of large-scale Lipschitz maps ...... 3975 Paolo Aluffi, Chern classes for singular hypersurfaces ...... 3989 Juan Elias, On the depth of the tangent cone and the growth of the Hilbert function ...... 4027 Daniel C. Cohen and Alexander I. Suciu, Alexander invariants of complex hyperplane arrangements ...... 4043 Robert Carlson, Inverse eigenvalue problems on directed graphs ...... 4069 Rong-Qing Jia, Characterization of smoothness of multivariate refinable functions in Sobolev spaces ...... 4089 Adalberto P. Bergamasco, Remarks about global analytic hypoellipticity 4113 David K. Watson and Richard L. Wheeden, Norm estimates and representations for Calder´on-Zygmund operators using averages over starlike sets ...... 4127 Xiaofeng Wang and Duo Wang, The C1 closing lemma for nonsingular endomorphisms equivariant under free actions of finite groups ...... 4173 Ioannis A. Polyrakis, Minimal lattice-subspaces ...... 4183 Hongming Ding, Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces ...... 4205 Dan Barbasch and Allen Moy, Classification of one K–type representa- tions ...... 4245 Christopher Hoffman, A K counterexample machine ...... 4263

Vol. 351, No. 11 Whole No. 774 November 1999

Seok-Jin Kang and Myung-Hwan Kim, Dimension formula for graded Lie algebras and its applications ...... 4281 Irene Hueter, Limit theorems for the convex hull of random points in higher dimensions ...... 4337 Joachim Michel and Mei-Chi Shaw, The ∂ problem on domains with piecewise smooth boundaries with applications ...... 4365 Uwe Nagel, Arithmetically Buchsbaum divisors on varieties of minimal degree ...... 4381 C. Kriloff, Some interesting nonspherical tempered representations of graded Hecke algebras ...... 4411 Alexander I. Molev and Bruce E. Sagan, A Littlewood-Richardson rule for factorial Schur functions ...... 4429 Li Guo and Linghsueh Shu, Class numbers of cyclotomic function fields 4445 Charles Radin and Lorenzo Sadun, On 2-generator subgroups of SO(3) 4469 Norihiko Minami, Hecke algebras and cohomotopical Mackey functors . . . 4481 Marianne Akian, Densities of idempotent measures and large deviations . 4515 Nora C. Hopkins and Michael K. Kinyon, Quadratic differential equations in Z2-graded algebras ...... 4545 S.B. Damelin and A.B.J. Kuijlaars, The support of the equilibrium measure in the presence of a monomial external field on [−1, 1] ...... 4561 Stefan M¨uller, A sharp version of Zhang’s theorem on truncating sequences of gradients ...... 4585 P. Kiriakouli, A classification of Baire-1 functions ...... 4599 Jong Uhn Kim, An Lp a priori estimate for the Tricomi equation in the upper half space ...... 4611 S. J. Bhatt, A. Inoue, and H. Ogi, Admissibility of weights on non-normed ∗-algebras ...... 4629 You Qing Ji, Quasitriangular + small compact = strongly irreducible . . . . 4657 Tianxuan Miao, Decomposition of B(G) ...... 4675

Vol. 351, No. 12 Whole No. 775 December 1999

Ricardo Sa Earp and Eric Toubiana, Symmetry of properly embedded special Weingarten surfaces in H3 ...... 4693 Hirohiko Shima, Homogeneous spaces with invariant projectively flat affine connections ...... 4713 Chien-Hsiung Chen, Warped products of metric spaces of curvature bounded from above ...... 4727 Ian Graham and David Minda, A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points ...... 4741 T. Bloom and N. Levenberg, Capacity convergence results and applications to a Berstein-Markov inequality ...... 4753 F. Thaine, On the coefficients of Jacobi sums in prime cyclotomic fields . . 4769 NataˇsaKovaˇcevi´c, M¨obius-like groups of homeomorphisms of the circle . . 4791 NataˇsaKovaˇcevi´c, Examples of M¨obius-like groups which are not M¨obius groups ...... 4823 Norio Iwase, Shiroshi Saito, and Toshio Sumi, Homology of the universal covering of a co-H-space ...... 4837 R. Cominetti and O. Alemany, Steepest descent evolution equations: asymptotic behavior of solutions and rate of convergence ...... 4847 Jan Andres, Grzegorz Gabor, and Lech G´orniewicz, Boundary value problems on infinite intervals ...... 4861 W. N. Everitt and L. Markus, Complex symplectic geometry with applications to ordinary differential operators ...... 4905 E. B. Fabes, M. V. Safonov, and Yu Yuan, Behavior near the boundary of positive solutions of second order parabolic equations. II ...... 4947 S. V. Konyagin and W. Schlag, Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle ...... 4963 Volker Wrobel, Optimal individual stability estimates for C0-semigroups in Banach spaces ...... 4981 R. Daniel Mauldin and Mariusz Urba´nski, Conformal iterated function systems with applications to the geometry of continued fractions . . . . . 4995 Huaxin Lin, When almost multiplicative morphisms are close to homomorphisms ...... 5027 Douglas L. Costa and Gordon E. Keller, On the normal subgroups of G2(A) ...... 5051 Alain D’Amour and Michel Racine, *-polynomial identities of matrices with the transpose involution: the low degrees ...... 5089 Editorial Information To be published in the Transactions, a paper must be correct, new, nontrivial, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers submitted to the Transactions should exceed 10 published journal pages in length. Shorter papers may be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LATEX or AMS-TEX. As of August 31, 1999, the backlog for this journal was approximately 12 issues. This estimate is the result of dividing the number of manuscripts for this journal in the Providence office that have not yet gone to the printer on the above date by the average number of articles per issue over the previous twelve months, reduced by the number of issues published in four months (the time necessary for editing and composing a typical issue). In an effort to make articles available as quickly as possible, articles are posted to e-MATH individually soon after proof is returned from authors and before appearing in an issue. A Consent to Publish and Copyright Agreement is required before a paper will be published in this journal. After a paper is accepted for publication, the Providence office will send a Consent to Publish and Copyright Agreement to all authors of the paper. By submitting a paper to this journal, authors certify that the results have not been submitted to nor are they under consideration for publication by another journal, conference proceedings, or similar publication.

Information for Authors Initial submission. Two copies of the paper should be sent directly to the appropriate Editor and the author should keep a copy. IF an editor is agreeable, an electronic manuscript prepared in TEX or LATEX may be submitted by pointing to an appropriate URL on a preprint or e-print server. The first page must consist of a descriptive title, followed by an abstract that summarizes the article in language suitable for workers in the general field (alge- bra, analysis, etc.). The descriptive title should be short, but informative; useless or vague phrases such as “some remarks about” or “concerning” should be avoided. The abstract should be at least one complete sentence, and at most 300 words. Included with the footnotes to the paper should be the 2000 Mathematics Sub- ject Classification representing the primary and secondary subjects of the article. The classifications are accessible from http://www.ams.org/msc. The list of clas- sifications will also be available in print starting with the 1999 annual index of Mathematical Reviews. The Mathematics Subject Classification footnote may be followed by a list of key words and phrases describing the subject matter of the article and taken from it. Journal abbreviations used in bibliographies are listed in the latest Mathematical Reviews annual index. The series abbreviations are also accessible from http://www.ams.org/publications. When the manuscript is submitted, authors should supply the editor with electronic addresses if available. These will be printed after the postal address at the end of each article. Electronically prepared manuscripts. The AMS encourages electronically prepared manuscripts, with a strong preference for AMS-LATEX. To this end, the So- ciety has prepared AMS-LATEX author packages for each AMS publication. Author packages include instructions for preparing electronic manuscripts, the AMS Author Handbook, samples, and a style file that generates the particular design specifica- tions of that publication series. Articles properly prepared using the AMS-LATEX style file automatically provide hypertext linking to the bibliography and other el- ements of the article for searching electronically on the World Wide Web. Because linking must often be added manually to electronically prepared manuscripts in other forms of TEX, using AMS-LATEX also reduces the amount of technical in- tervention once the files are received by the AMS. This results in fewer errors in processing and saves the author proofreading time. AMS-LATEX papers also move more efficiently through the production stream, helping to minimize publishing costs. AMS-LATEX is the highly preferred format of TEX, but author packages are also available in AMS-TEX. Those authors who make use of these style files from the beginning of the writing process will further reduce their own efforts. Manuscripts prepared electronically in LATEX or plain TEX are normally not acceptable due to the high amount of technical time required to insure that the file will run properly through the AMS in-house production system. LATEX users will find that AMS- LATEX is the same as LATEX with additional commands to simplify the typesetting of mathematics, and users of plain TEX should have the foundation for learning AMS-LATEX. Authors may retrieve an author package from e-MATH via the World Wide Web through the URL http : //www.ams.org/tex/ or via FTP to ftp.ams.org (login as anonymous and enter username as password). The author package can also be obtained free of charge by sending e-mail to [email protected] (Internet) or from the Publication Division, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. When requesting an author package, please specify AMS-LATEX or AMS-TEX, Macintosh or IBM (3.5) format, and the publication in which your paper will appear. Please be sure to include your complete mailing address. At the time of submission, authors should indicate if the paper has been prepared using AMS-LATEX or AMS-TEX and provide the Editor with a paper manuscript that matches the electronic manuscript. The final version of the electronic man- uscript should be sent to the Providence office immediately after the paper has been accepted for publication. The author should also send the final version of the paper manuscript to the Editor, who will forward a copy to the Providence office. Editors will require authors to send their electronically prepared manuscripts to the Providence office in a timely fashion. Electronically prepared manuscripts can be sent via e-mail to [email protected] (Internet) or on diskette to the Electronic Prepress Department, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. When sending a manuscript electronically, please be sure to include a message indicating in which publication the paper has been accepted. No cor- rections will be accepted electronically. Authors must mark their changes on their proof copies and return them to the Providence office. Complete instructions on how to send files are included in the author package.

Electronic graphics. Figures may be sent to the AMS in an electronic format. The AMS recommends that graphics created electronically be saved in Encapsu- lated PostScript (EPS) format. This includes graphics originated via a graphics application as well as scanned photographs or other computer-generated images. If the graphics package used does not support EPS output, the graphics file should be saved in one of the standard graphics formats—such as TIFF, PICT, GIF, etc.—rather than in an application-dependent format. Graphics files sent in an application-dependent format are not likely to be used. No matter what method was used to produce the graphic, it is necessary to provide a paper copy to the AMS. Authors using graphics packages for the creation of electronic art should also avoid the use of any lines thinner than 0.5 points in width. Many graphics packages allow the user to specify a “hairline” for a very thin line. Hairlines often look acceptable when proofed on a typical laser printer. However, when produced on a high-resolution laser imagesetter, hairlines become nearly invisible and will be lost entirely in the final printing process. Screens should be set to values between 15% and 85%. Screens which fall outside of this range are too light or too dark to print correctly. TEX files available. Beginning with the January 1992 issue of the Bulletin and the January 1996 issues of Transactions, Proceedings, Mathematics of Computation, and the Journal of the AMS, TEX files can be downloaded from e-MATH, starting from URL http : //www.ams.org/journals/. Authors without Web access may request their files at the address given below after the article has been published. For Bulletin papers published in 1987 through 1991 and for Transactions, Proceedings, Mathematics of Computation, and the Journal of the AMS papers published in 1987 through 1995, TEX files are available upon request for authors without Web access by sending e-mail to [email protected] or by contacting the Electronic Prepress Department, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. The request should include the title of the paper, the name(s) of the author(s), the name of the publication in which the paper has or will appear, and the volume and issue numbers if known. The TEX file will be sent to the author making the request after the article goes to the printer. If the requestor can receive Internet e-mail, please include the e-mail address to which the file should be sent. Otherwise please indicate a diskette format and postal address to which a disk should be mailed. Note: Because TEX production at the AMS sometimes requires extra fonts and macros that are not yet publicly available, TEX files cannot be guaranteed to run through the author’s version of TEX without errors. The AMS regrets that it cannot provide support to eliminate such errors in the author’s TEX environment. Any inquiries concerning a paper that has been accepted for publication should be sent directly to the Electronic Prepress Department, American Mathematical Society, P. O. Box 6248, Providence, RI 02940-6248. Editors Two copies of papers intended for publication in Transactions or Memoirs should be addressed to the appropriate editor. Subjects, and the editors associated with them, follow. Harmonic analysis, representation theory, and Lie theory, ROBERT J. STANTON, Department of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus, OH 43210- 1174; e-mail: [email protected] Operator algebras and functional analysis, BRUCE E. BLACKADAR, Department of Mathematics, University of Nevada, Reno, NV 89557; e-mail: [email protected] Ergodic theory and dynamical systems, ROBERT F. WILLIAMS, Department of Math- ematics, University of Texas, Austin, TX 78712-1082; e-mail: [email protected] Algebra, CHARLES W. CURTIS, Department of Mathematics, University of Oregon, Eugene, OR 97403-1222; e-mail: [email protected] Geometric topology, knot theory, hyperbolic geometry, and general topology, JOHN LUECKE, Department of Mathematics, University of Texas, Austin, TX 78712-1082; e-mail: [email protected] Algebraic topology and cohomology of groups, STEWART PRIDDY, Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60288-2730; e-mail: s [email protected] Ordinary differential equations, partial differential equations, and applied math- ematics, JOHN MALLET-PARET, Division of Applied Mathematics, Brown University, Provi- dence, RI 02912-9000; e-mail: [email protected] Differential geometry and global analysis, CHUU-LIAN TERNG, Department of Math- ematics, Northeastern University, Boston, MA 02115-5096; e-mail: [email protected] Probability and statistics, RODRIGO BANUELOS,˜ Department of Mathematics, Purdue University, West Lafayette, IN 47907; e-mail: [email protected] Combinatorics and Lie theory, PHILIP J. HANLON, Department of Mathematics, Uni- versity of Michigan, Ann Arbor, MI 48109-1003; e-mail: [email protected] Logic, THEODORE SLAMAN, Department of Mathematics, University of California, Berke- ley, CA 94720-3840; e-mail: [email protected] Number theory and arithmetic algebraic geometry, ALICE SILVERBERG, c/o Math- ematisches Institut, Universitaet Erlangen-Nuernberg, Bismarckstraße 1 1/2, 91054 Erlangen, Germany; e-mail: [email protected] Complex analysis and complex geometry, DANIEL M. BURNS, Department of Mathe- matics, University of Michigan, Ann Arbor, MI 48109-1003; e-mail: [email protected] Algebraic geometry and commutative algebra, LAWRENCE EIN, Department of Math- ematics, University of Illinois, 851 S. Morgan (M/C 249), Chicago, IL 60607-7045; e-mail: ein@ uic.edu Real and harmonic analysis and geometric partial differential equations, WILLIAM BECKNER, Department of Mathematics, University of Texas, Austin, TX 78712-1082; e-mail: [email protected] Partial differential equations and applied mathematics, BARBARA LEE KEYFITZ, Department of Mathematics, University of Houston, 4800 Calhoun, Houston, TX 77204-3476; e-mail: [email protected] All other communications to the editors should be addressed to the Managing Editor, PETER SHALEN, Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL 60607-7045; e-mail: [email protected].

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY This bimonthly journal is devoted to research in pure and applied mathematics of much the same nature as appears in Transactions. An issue consists of one or more separately bound research tracts for which the author(s) has provided reproduction copy. Prior to 1975 this was published as a monograph series. The editorial committee is identical with that for the Transactions so that papers intended for publication in this series should be addressed to one of the editors.