TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

EDITED BY

A.A. ALBERT ANTONIZYGMUND

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 R. L. WILDER

VOLUME 61 JANUARY TO JUNE, 1947

PUBLISHED BY THE SOCIETY MENASHA, WIS., AND NEW YORK 1947

Reprinted with the permission of The American Mathematical Society

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PRINTED IN THE OF AMERICA TABLE OF CONTENTS VOLUME 61, JANUARY TO JUNE, 1947

Ambrose, W. Measures on locally compact topological groups. 106

Ambrose, W. Direct sum theorem for Haar measures. 122 Baer, R. Splitting endomorphisms. 508

Baer, R. Endomorphism rings of operator loops. 517

Boas, R. P. Density theorems for power series and complete sets .... 54

Chang, S. C. Contributions to projective theory of singular points of space curves. 369

Eilenberg, S. Homology of spaces with operators. 1. 378

Ferrand, Jacqueline. Note on a paper by Mandelbrojt and MacLane. 468 Gerst, I. Meromorphic functions with simultaneous multiplication and addition theorems. 469

Helsel, R. G. A theorem on surface area. 443

Hestenes, M. R. An alternate sufficiency proof for the normal problem of Bolza. 256

Hua, L. K. of matrices. II. Study of involutions in the of symmetric matrices. 193 Hua, L. K. Geometries of matrices. III. Fundamental theorems in the geometries of symmetric matrices. 229

James, R. C. Orthogonality and linear functionals in normed linear spaces. 265

Kalisch, G. K. On special Jordan algebras. 482

Kober, H. Approximation of continuous functions by integral functions of finite order. 293

MacLane, G. R., and Mandelbrojt, S. On functions holomorphic in a strip region, and an extension of Watson's problem. 454 Mandelbrojt, S., and MacLane, G. R. On functions holomorphic in a strip region, and an extension of Watson's problem. 454 Masani, P. R. Multiplicative Riemann integration in normed rings. . 147

Minakshisundaram, S., and SzÁsz, O. On absolute convergence of multiple Fourier series. 36 Morse, A. P. Perfect blankets. 418

Nelson, D. Recursive functions and intuitionistic number theory. . . . 307 Nelson, D. Errata for Recursive functions and intuitionistic number theory.: . . . 556

Radó, T. The isoperimetric inequality and the Lebesgue definition of surface area. 530

Ringenberg, L. A. On the extension of interval functions. 134

Robinson, R. M. Univalent majorants. 1

Segal, I. E. The group algebra of a locally compact group. 69 Su, Buchin. Descriptive collineations in spaces of JT-spreads. 495

SzÁsz, O., and Minakshisundaram, S. On absolute convergence of multiple Fourier series. 36

Truesdell, C. On Sokolovsky's "momentless shells". 128