TRANSACTIONS - American Mathematical Society...Rabenstein, A. L. and Lin, C. C. On the asymptotic...

TRANSACTIONS

OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BY

LIPMAN BERS G. P. HOCHSCHILD

W. S. MASSEY I. M. SINGER

WITH THE COOPERATION OF

A. P. CALDERON E. A. CODDINGTON JEAN DIEUDONNE

ELDON DYER HARLEY FLANDERS LEON HENKIN

G. A. HUNT R. V. KADISON A. N. MILGRAM

J. C. MOORE G. D. MOSTOW M. M. SCHIFFER

H. C. WANG

VOLUME 94

JANUARY TO MARCH, 1960

The publication of this volume is supported in partby the National Science Foundation

PUBLISHED BY

THE AMERICAN MATHEMATICAL SOCIETYProvidence, Rhode Island 02904

1960

Reprinted 1969

Copyright © 1960 by the American Mathematical Society

Printed in the United States of America

TABLE OF CONTENTS

VOLUME 94, JANUARY TO MARCH, 1960

Alling, N. L. On ordered divisible groups. 498

Beck, Anatole. Eigen operators of ergodic transformations. 118

Bene§, V. E. Combinatory methods and stochastic Kolmogorov equa-

tions in the theory of queues with one server. 282

Carroll, F. W. On some classes of noncontinuable analytic functions. 74

Cohen, H. J., Supnick, Fred and Keston, J. F. On the powers of a

real number reduced modulo one. 244

Ellis, Robert. A semigroup associated with a transformation group. 272

Ellis, Robert and Gottschalk, W. H. Homomorphisms of trans-

formation groups. 258

Fell, J. M. G. The dual spaces of C*-algebras. 365

Forsythe, G. E. and Henrici, P. The cyclic Jacobi method for com-

puting the principal values of a complex matrix. 1

Gehring, F. W. The boundary behavior and uniqueness of solutions

of the heat equation. 337

Gordon, Hugh. Topologies and projections on Riesz spaces. 529

Gorman, C. D. Brownian motion of rotation. 103

Gottschalk, W. H. and Ellis, Robert. Homomorphisms of trans-

formation groups. 258

Gross, Leonard. Integration and nonlinear transformations in Hilbert

space. 404

Hanani, Haim. A generalization of the Banach and Mazur game. ... 86

Hano, JtiN-iCHi and Kobayashi, Shoshichi. A fibering of a class of

homogeneous complex manifolds. 233

Henrici, P. and Forsythe, G. E. The cyclic Jacobi method for com-

puting the principal values of a complex matrix. 1

Herz, C. S. The spectral theory of bounded functions. 181

Heuser, Harro. On the spectral theory of symmetric finite operators 327

Keston, J. F., Supnick, Fred and Cohen, H. J. On the powers of a


Kobayashi, Shoshichi and Hano, Jun-ichi. A fibering of a class of ho-

mogeneous complex manifolds. 233

Lees, Milton. Energy inequalities for the solution of differential equa-

tions . 58

LeVeque, W. J. On the frequency of small fractional parts in certain

real sequences. II. 130

Lin, C. C. and Rabenstein, A. L. On the asymptotic solutions of a

class of ordinary differential equations of the fourth order. I. Ex-

istence of regular formal solutions. 24

O'Keefe, K. B. A property of the differential ideal [yp]. 483

Rabenstein, A. L. and Lin, C. C. On the asymptotic solutions of a

class of ordinary differential equations on the fourth order. I. Ex-

istence of regular formal solutions. 24

Raney, G. N. Functional composition patterns and power series rever-

sion . 441

Schafer, R. D. Nodal noncommutative Jordan algebras and simple

Lie algebras of characteristic p. 310

Seligman, G. B. On automorphisms of Lie algebras of classical type.

II. 452

Spitzer, Frank. A Tauberian theorem and its probability interpreta-

tion . 150

Stromberg, Karl. Probabilities on a compact group. 295

Supnick, Fred, Cohen, H. J. and Keston, J. F. On the powers of a


Ullman, J. L. Studies in Faber polynomials. 1. 515

Widom, Harold. A theorem on translation kernels in n dimensions. . 170

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