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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY EDITED BY A.A. ALBERT OSCAR ZARISKI 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 HASSLER WHITNEY 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 JOHNSON REPRINT CoRPoRATION JOHNSON llEPRrNT CoMPANY LIMITED III Fifth Avenue. New York. N. Y. 10003 Berkeley Square House. London. W. I First reprinting, 1964, Johnson Reprint Corporation PRINTED IN THE UNITED STATES 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. Geometries of matrices. II. Study of involutions in the geometry 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.