123 NUMBE ARY 1995 UMBER428 PROCEEDINGS JL OFTHE

AMERICAN MATHEMATICAL SOCIETY

EDITED BY William Adams Linda Keen Dale Alspach Irwin Kra, Managing Editor J. Marshall Ash Peter Li Albert Baernstein II Wei Y. Loh Eric Bedford Joseph S. B. Mitchell Andreas R. Blass M. Susan Montgomery Christopher Croke Jeffrey B. Rauch Richard T. Durrett Mary Rees Clifford J. Earle Jr. David Sharp Eric Friedlander Lance W. Small Theodore W. Gamelin Hal L. Smith James Glimm Christopher D. Sogge Ken Goodearl Ronald M. Solomon Roe Goodman Ronald Stern Thomas Goodwillie Franklin D. Tall Dennis A. Hejhal John Trangenstein Palle E. T. Jorgensen Wolmer V. Vasconcelos Jeffry N. Kahn James West

PROVIDENCE, RHODE ISLAND USA ISSN 0002-9939 Proceedings of the American Mathematical Society This journal is devoted entirely to research in pure and applied mathematics.

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Electronically prepared manuscripts. The AMS encourages submission of electroni- cally prepared manuscripts in AmS-T^K or AmS-WT^K because properly prepared elec- tronic manuscripts save the author proofreading time and move more quickly through "preprint" the production process. To this end, the Society has prepared style files, specifically the amsppt style of „4Mergodic theory, Mary Rees, Department of Pure Mathematics, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, United Kingdom, e-mail: maryreesQliverpool.ac.uk Ordinary differential equations and special functions, Hal L. Smith, Arizona State University, Tempe, AZ 85287, e-mail: halsmithSmath.la.asu.edu Global analysis, Linda Keen 2. LIE GROUPS, TOPOLOGY,AND GEOMETRY Coordinating Editor: Peter Li, University of California, Irvine, CA 92717, e-mail: pliSmath.uci.edu Topological groups and Lie groups (symmetric spaces), Roe Goodman, Rutgers University, New Brunswick, NJ 08903, e-mail: goodmanSmath.rutgers.edu Riemannian geometry (including affine, pseudo-Riemannian, contact, classical, and Lorentzian ge- ometries), Christopher Croke, University of Pennsylvania, Philadelphia, PA 19104, e-mail: ccrokeSmath. upenn. edu Geometric analysis (geometric PDE, minimal surfaces, harmonic maps) and Kahler geometry, Peter Li Algebraic topology (higher dimensional topology), Thomas Goodwillie, Brown University, Box 1917, Providence, RI 02912, e-mail: tomgSbrownvm.bitnet Metric and geometric topology, James West, Cornell University, White Hall, Ithaca, NY 14853— 7901, e-mail: westSmath.cornell.edu Set-theoretic and general topology, Franklin D. Tall, University of Toronto, Toronto, Ontario, Canada M5S 1A1, e-mail: tallSmath.toronto.edu Low dimensional topology and differential topology (knot theory, 3- and 4-manifolds, Gauge- theory), Ronald Stern, University of California, Irvine, CA 92717, e-mail: rsternSmath.uci.edu 3. ANALYSISAND OPERATOR THEORY Coordinating Editor: Clifford J. Earle, Jr., Cornell University, White Hall, Ithaca, NY 14853, e-mail: cliffSmath.cornell.edu One complex variable and potential theory, Albert Baernstein II, Washington University, St. Louis, MO 63130, e-mail: C31801ABSWUVMD.BITNET Several complex variables, Eric Bedford, Indiana University, Swain Hall East, Bloomington, IN 47401, e-mail: BEDFORDSucs.indiana.edu Functional analysis, Dale Alspach, Oklahoma State University, Stillwater, OK 74078, e-mail: alspachShilbert .math.okstate. edu Complex variables, functional analysis, and operator theory, Theodore W. Gamelin, University of California, Los Angeles, CA 90024, e-mail: twgSmath.ucla.edu Functional analysis and operator theory, Palle E. T. Jorgensen, University of Iowa, Iowa City, IA 52242 Classical and harmonic analysis, J. Marshall Ash, DePaul University, Chicago, IL 60614, e-mail: MATJMAQDEPAUL.BITNET Classical and harmonic analysis, Christopher D. Sogge, UCLA, Los Angeles, CA 90024, e-mail: soggeQmath.ucla.edu Analytic number theory and automorphic forms, Dennis A. Hejhal, School of Mathematics, University of Minnesota, Minneapolis, MN 55455, e-mail: hejhalSmath.umn.edu 4. ALGEBRA,NUMBER THEORY, AND COMBINATORICS Coordinating Editor: M. Susan Montgomery, University of Southern California, DRB 155, Los Angeles, CA 90089-1113, e-mail: smontgomSmath.usc.edu General number theory, William Adams, University of Maryland, College Park, MD 20742, e-mail: wwaQmath.umd.edu General algebra, Lance W. Small, University of California San Diego, La Jolla, CA 92093-0112, e-mail: lwsmallSucsd.edu Commutative algebra, Wolmer V. Vasconcelos, Rutgers University, New Brunswick, NJ 08903, e-mail: vasconceSrings. rutgers. edu Group theory, Ronald M. Solomon, Ohio State University, Columbus, OH 43210, e-mail: solomonSfunction .mps.ohio-state. edu A>theory, algebraic groups, algebraic geometry, Eric Friedlander, Northwestern University, Evanston, IL 60208, e-mail: ericSmath.nwu.edu Combinatorics, Jeffry N. Kahn, Rutgers University, New Brunswick, NJ 08903, e-mail: j kahnSmath. rutgers. edu Analytic number theory and automorphic forms, Dennis A. Hejhal, School of Mathematics, University of Minnesota, Minneapolis, MN 55455, e-mail: hejhalSmath.umn.edu Logic and foundations, Andreas R. Blass, University of Michigan, Ann Arbor, MI 48109-1003, e-mail: ablassSumich.edu Lie algebras and Lie groups, Roe Goodman, Rutgers University, New Brunswick, NJ 08903, e-mail: goodmanSmath. rutgers. edu Noncommutative rings, Ken Goodearl, University of California, Santa Barbara, CA 93106, e-mail: goodearlSmath.ucsb.edu 5. APPLIED MATHEMATICS,PROBABILITY, AND STATISTICS Coordinating Editor : James Glimm, Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, NY 11794-3600, e-mail: glimmSams. sunysb. edu Probability, Richard T. Durrett, Cornell University, White Hall, Ithaca, NY 14853-7901, e-mail: rtdScornella.cit.Cornell.edu Statistics, Wei Y. Loh, Department of Statistics, University of Wisconsin, 1210 W. Dayton Street, Madison, WI 53706, e-mail: lohSstat.wisc.edu Applied mathematics, David Sharp, Theoretic Division, Los Alamos National Laboratory MSB285, Los Alamos, NM 87545, e-mail: dhsSlanl.gov John Trangenstein, Duke University, Durham, NC 27706, e-mail: johntSmath.duke.edu Operations research, Joseph S. B. Mitchell, Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, NY 11794-3600, e-mail: j sbmSams. sunysb. edu (Continued from back cover) F. STATISTICS AND PROBABILITY Jeffrey S. Rosenthal, On duality of probabilities for card dealing. 559 Xuming He and Gang Wang, Law of the iterated logarithm and invariance principle for M- estimators . 563 Qi-Man Shao, On a conjecture of Révész. 575 G. TOPOLOGY Huaipeng Chen, An answer to a conjecture on the countable products of fc-spaces . 583 James W. Anderson, Parabolics on the boundary of the deformation space of a Kleinian group . 589 Daniel Ruberman, Involutions on spin 4-manifolds . 593 M. H. Eggar, On compositions of the loop and suspension functors . 597 Paolo Lisca, A vanishing theorem for Donaldson invariants . 607 Xiu-Chi Quan, Positive definite functions of Hopf C*-algebras . 615 Judith H. Silverman, Hit polynomials and the canonical antiautomorphism of the Steenrod algebra. 627 Lizhen Ji, Convergence of heat kernels for degenerating hyperbolic surfaces. 639 PROCEEDINGS OF THE AMERICAN MATHEMATICALSOCIETY CONTENTS Vol. 123, No. 2 Whole No. 428 February 1995

A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS Ying-Sheng Liu, A counterexample to the deformation conjecture for uniform tree lattices 315 Le Maohua, On the diophantine equation 2" + px2 = yp. 321 D. S. Passman and Declan Quinn, Burnside's theorem for Hopf algebras . 327 Daniel K. Nakano, A bound on the complexity for GrT modules. 335 Jie-Tai Yu, A product formula for minimal polynomials and degree bounds for inverses of polynomial automorphisms . 343 Randall R. Holmes, A duality proof of a theorem of P. Hill. 351 Marcelo Laca and Iain Raeburn, Extending multipliers from semigroups . 355 David A. Clark, An upper bound of £) l/(a,-loga,-) for primitive sequences . 363 B. ANALYSIS A. Volberg, R. Younis, and D. Zheng, Subalgebras of C(M(H°°)) . 367 Yifei Pan, Real analyticity of homeomorphic CR mappings between real analytic hypersur- faces in C2 . 373 Jorma Arhippainen, On the ideal structure of algebras of star-algebra valued functions ... 381 Wojciech Chojnacki, A note on complete integrals. 393 Shusheng Fu, An extension of the Foran integral . 403 Gun-Marie Lövblom, Uniform homeomorphisms between the unit balls in Lp and lp .... 405 Bertram Yood, Banach algebras with non-Hausdorff structure spaces . 411 Claudio H. Morales and Simba A. Mutangadura, On the approximation of fixed points for locally pseudo-contractive mappings. 417 Stephen D. Abbott, A unified approach to some prediction problems . 425 J. García-Cuerva and K. S. Razarían, Spline wavelet bases of weighted LP spaces, 1 < p < oo 433 Martin Chuaqui, A unified approach to univalence criteria in the unit disc. 441 Charles Swartz, Subseries convergence in spaces with a Schauder basis. 455 Jürgen Bliedtner and Peter A. Loeb, Best filters for the general Fatou Boundary Limit Theorem . 459 Michal Feckan, Periodic solutions of certain abstract wave equations. 465 Lea McClaran, Banach spaces with an unconditional basis that are isomorphic to a nonatomic Banach lattice. 471 M. Meyer, G. Mokobodzki, and M. Rogalski, Convex bodies and concave functions. 477 Mirostew Baran, Complex equilibrium measure and Bernstein type theorems for compact sets in R" . 485 Hiroshi Haruki and Themistocles M. Rassias, New generalizations of Jensen's functional equation. 495 Carolyn Eoff, The discrete nature of the Paley-Wiener spaces . 505 Jacqueline Fleckinger and Michel L. Lapidus, Indefinite elliptic boundary value problems on irregular domains . 513 Yasuhiro Sasahara and Kazunaga Tanaka, A remark on positive radial solutions of the elliptic equation Am+ K{\x\)u(n+2W"-21 = 0 in R" . 527 W. Allegretto and P. O. Odiobala, Nonpositone elliptic problems in R" . 533 Lance Bamett, Free product von Neumann algebras of type III . 543 E. LOGIC AND FOUNDATIONS Rostas Skandalis, On the characterization of recursively enumerable sets as pseudo- diophantine . 555 (Continued on inside back cover)

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