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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY EDITED BY A. A. ALBERT OSCAR ZARISKI ANTONI ZYGMUND WITH THE COOPERATION OF RICHARD BRAUER NELSON DUNFORD SAMUEL EILENBERG WILLIAM FELLER G. A. HEDLUND NATHAN JACOBSON IRVING KAPLANSKY S. C. KLEENE M. S. KNEBELMAN HARRY LEVY SAUNDERS MacLANE C. B. MORREY W. T. REID O. F. G. SCHILLING N. E. STEENROD J. J. STOKER D. J. STRUIK HASSLER WHITNEY R. L. WILDER VOLUME 63 JANUARY TO JUNE 1948 PUBLISHED BY THE SOCIETY MENASHA, WIS., AND NEW YORK 1948 Reprinted with the permission of The American Mathematical Society Reprint Corporation Johnson Johnson Reprint Company Limited 111 Fifth Avenue, New York, N. Y. 10003 Berkeley Square House, London, W. 1 First reprinting, 1964, Johnson Reprint Corporation PRINTED IN THE UNITED STATES OF AMERICA TABLE OF CONTENTS VOLUME 63, JANUARY TO JUNE, 1948 Arens, R. F., and Kaplansky, I. Topological representation of algebras. 457 Bergman, S. Functions of extended class in the theory of functions of several complex variables. 523 Bergman, S. Errata for Two-dimensional subsonic flows of a com- pressible fluid and their singularities. 599 Carruth, P. W. Generalized power series fields. 548 Chevalley, C, and Eilenberg, S. Cohomology theory of Lie groups and Lie algebras. 85 Doob, J. L. Asymptotic properties of Markoff transition probabilities. 393 Doob, J. L. Renewal theory from the point of view of the theory of probability. 422 Eilenberg, S., and Chevalley, C. Cohomology theory of Lie groups and Lie algebras. 85 Godement, R. Les fonctions de type positif et la théorie des groupes.. 1 Good, R. A. On the theory of clusters. 482 Goodman, A. W. On some determinants related to p-valent functions. 175 Greenstone, L. Mapping by analytic functions: Part I. Conformai mapping of multiply-connected domains.125, 600 Hartman, P. Unrestricted solution fields of almost-separable differen- tial equations. 560 Hartman, P., and Wintner, A. Töplerian (L2)-bases. 207 Horn, A. The asymptotic behavior of solutions of systems of Volterra integral equations. 144 Jackson, D. The boundedness of orthonormal polynomials on certain curves of the fourth degree. 193 Kac, M., Salem R., and Zygmund, A. A gap theorem. 235 Kaplan, W. Topology of level curves of harmonic functions. 514 Kaplansky, I., and Arens, R. F. Topological representation of algebras 457 Karush, W. A semi-strong minimum for a multiple integral problem in the calculus of variations. 439 Lorentz, G. G. Tauberian theorems and Tauberian conditions. 226 Mickle, E. J. Metric foundations of continuous transformations.. 368 Moïse, E. E. An indecomposible plane continuum which is homeo- morphic to each of its nondegenerate subcontinua. 581 Pollard, H. The mean convergence of orthogonal series, II. 355 Protter, M. H. Generalized spherical harmonics. 314 Salem, R. Rectifications to the papers Sets of uniqueness and sets of multiplicités. I, II. 595 Salem R., Zygmund, A., and Kac, M. A gap theorem. 235 Sheffer, I. M. On ¿-periodic systems of linear equations. 244 Su, B. Errata for Descriptive collineations in spaces of A-spreads. .. 599 Weinstein, A. Discontinuous integrals and generalized potential theory. 342 Whyburn, G. T. On n-arc connectedness. 452 Wintner, A., and Hartman, P. Töplerian (Z,2)-bases. 207 Zygmund, A., Kac, M., and Salem, R. A gap theorem. 235.

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Transactions American Mathematical Society
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY EDITED BY A. A. ALBERT OSCAR ZARISKI ANTONI ZYGMUND WITH THE COOPERATION OF RICHARD BRAUER NELSON DUNFORD WILLIAM FELLER G. A. HEDLUND NATHAN JACOBSON IRVING KAPLANSKY S. C. KLEENE M. S. KNEBELMAN SAUNDERS MacLANE C. B. MORREY W. T. REID O. F. G. SCHILLING N. E. STEENROD J. J. STOKER D. J. STRUIK HASSLER WHITNEY R. L. WILDER VOLUME 62 JULY TO DECEMBER 1947 PUBLISHED BY THE SOCIETY MENASHA, WIS., AND NEW YORK 1947 Reprinted with the permission of The American Mathematical Society Johnson Reprint Corporation Johnson Reprint Company Limited 111 Fifth Avenue, New York, N. Y. 10003 Berkeley Square House, London, W. 1 First reprinting, 1964, Johnson Reprint Corporation PRINTED IN THE UNITED STATES OF AMERICA TABLE OF CONTENTS VOLUME 62, JULY TO DECEMBER, 1947 Arens, R. F., and Kelley, J. L. Characterizations of the space of con- tinuous functions over a compact Hausdorff space. 499 Baer, R. Direct decompositions. 62 Bellman, R. On the boundedness of solutions of nonlinear differential and difference equations. 357 Bergman, S. Two-dimensional subsonic flows of a compressible fluid and their singularities. 452 Blumenthal, L. M. Congruence and superposability in elliptic space.. 431 Chang, S. C. Errata for Contributions to projective theory of singular points of space curves. 548 Day, M. M. Polygons circumscribed about closed convex curves. 315 Day, M. M. Some characterizations of inner-product spaces. 320 Dushnik, B. Maximal sums of ordinals. 240 Eilenberg, S. Errata for Homology of spaces with operators. 1. 548 Erdös, P., and Fried, H. On the connection between gaps in power series and the roots of their partial sums.
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