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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 2, Number 3
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View front and back matter from the print issue

A note on generalized Tauberian theorems
C. T. Rajagopal
Proc. Amer. Math. Soc. 2 (1951), 335-349
DOI: https://doi.org/10.1090/S0002-9939-1951-0041954-4
Typically-real functions with assigned zeros
A. W. Goodman
Proc. Amer. Math. Soc. 2 (1951), 349-357
DOI: https://doi.org/10.1090/S0002-9939-1951-0041920-9
Functions with prescribed Lipschitz condition
W. S. Loud
Proc. Amer. Math. Soc. 2 (1951), 358-360
DOI: https://doi.org/10.1090/S0002-9939-1951-0043182-5
Note on the Hurwitz zeta-function
N. J. Fine
Proc. Amer. Math. Soc. 2 (1951), 361-364
DOI: https://doi.org/10.1090/S0002-9939-1951-0043194-1
Remarks on incompleteness of $\{e^ {i\lambda nx}\}$, nonaveraging sets, and entire functions
R. M. Redheffer
Proc. Amer. Math. Soc. 2 (1951), 365-369
DOI: https://doi.org/10.1090/S0002-9939-1951-0041270-0
On permanent vector-lines in $N$ dimensions
J. L. Synge
Proc. Amer. Math. Soc. 2 (1951), 370-372
DOI: https://doi.org/10.1090/S0002-9939-1951-0041590-X
Note on a theorem in summability
J. D. Hill
Proc. Amer. Math. Soc. 2 (1951), 372-373
DOI: https://doi.org/10.1090/S0002-9939-1951-0041248-7
The general form of hypergeometric series of two variables
A. Erdélyi
Proc. Amer. Math. Soc. 2 (1951), 374-379
DOI: https://doi.org/10.1090/S0002-9939-1951-0050066-5
Notes on Fourier analysis. XXX. On the absolute convergence of certain series of functions
Gen-Ichirô Sunouchi and Shigeki Yano
Proc. Amer. Math. Soc. 2 (1951), 380-389
DOI: https://doi.org/10.1090/S0002-9939-1951-0041258-X
The range of certain vector integrals
David Blackwell
Proc. Amer. Math. Soc. 2 (1951), 390-395
DOI: https://doi.org/10.1090/S0002-9939-1951-0041195-0
On the compatibility of the approximate Perron and the Cesàro-Perron integrals
H. W. Ellis
Proc. Amer. Math. Soc. 2 (1951), 396-397
DOI: https://doi.org/10.1090/S0002-9939-1951-0043867-0
On the behavior of Fourier sine transforms near the origin
Philip Hartman and Aurel Wintner
Proc. Amer. Math. Soc. 2 (1951), 398-400
DOI: https://doi.org/10.1090/S0002-9939-1951-0041964-7
Note on the transcendence of certain series
William J. LeVeque
Proc. Amer. Math. Soc. 2 (1951), 401-403
DOI: https://doi.org/10.1090/S0002-9939-1951-0041890-3
A probabilistic generalization of matric Banach algebras
B. O. Koopman
Proc. Amer. Math. Soc. 2 (1951), 404-413
DOI: https://doi.org/10.1090/S0002-9939-1951-0044753-2
An ergodic theorem for a noncommutative semigroup of linear operators
J. E. L. Peck
Proc. Amer. Math. Soc. 2 (1951), 414-421
DOI: https://doi.org/10.1090/S0002-9939-1951-0041350-X
Addendum: Derivatives of infinite order
R. P. Boas and K. Chandrasekharan
Proc. Amer. Math. Soc. 2 (1951), 422
DOI: https://doi.org/10.1090/S0002-9939-1951-0041896-4
A theorem on conditional extremes with an application to total differentials
L. M. Court
Proc. Amer. Math. Soc. 2 (1951), 423-428
DOI: https://doi.org/10.1090/S0002-9939-1951-0043152-7
Triangular permutation numbers
John Riordan
Proc. Amer. Math. Soc. 2 (1951), 429-432
DOI: https://doi.org/10.1090/S0002-9939-1951-0041090-7
On the convergence of approximate solutions of the heat equation to the exact solution
Werner Leutert
Proc. Amer. Math. Soc. 2 (1951), 433-439
DOI: https://doi.org/10.1090/S0002-9939-1951-0043577-X
The probability of a correct result with a certain rounding-off procedure
W. S. Loud
Proc. Amer. Math. Soc. 2 (1951), 440-446
DOI: https://doi.org/10.1090/S0002-9939-1951-0041528-5
Collineations in generalized spaces
Jack Levine
Proc. Amer. Math. Soc. 2 (1951), 447-455
DOI: https://doi.org/10.1090/S0002-9939-1951-0042192-1
On the continuity of parametric linear operations
B. J. Pettis
Proc. Amer. Math. Soc. 2 (1951), 455-457
DOI: https://doi.org/10.1090/S0002-9939-1951-0041348-1
A remark on chain-homotopy
Tibor Rado
Proc. Amer. Math. Soc. 2 (1951), 458-463
DOI: https://doi.org/10.1090/S0002-9939-1951-0041440-1
Convex maps
S. K. Stein
Proc. Amer. Math. Soc. 2 (1951), 464-466
DOI: https://doi.org/10.1090/S0002-9939-1951-0041425-5
Lattice homomorphisms induced by group homomorphisms
Donald G. Higman
Proc. Amer. Math. Soc. 2 (1951), 467-478
DOI: https://doi.org/10.1090/S0002-9939-1951-0041138-X
Semi-automorphisms of symmetric and alternating groups
Flora Dinkines
Proc. Amer. Math. Soc. 2 (1951), 478-486
DOI: https://doi.org/10.1090/S0002-9939-1951-0041140-8
Linear independence in Abelian groups
Mary-Elizabeth Hamstrom
Proc. Amer. Math. Soc. 2 (1951), 487-489
DOI: https://doi.org/10.1090/S0002-9939-1951-0041137-8
On the decomposition of unitary representations of Lie groups
F. I. Mautner
Proc. Amer. Math. Soc. 2 (1951), 490-496
DOI: https://doi.org/10.1090/S0002-9939-1951-0041856-3
Bounds for determinants with dominant principal diagonal
G. Baley Price
Proc. Amer. Math. Soc. 2 (1951), 497-502
DOI: https://doi.org/10.1090/S0002-9939-1951-0041093-2
A theorem on quadratic residues
Leo Moser
Proc. Amer. Math. Soc. 2 (1951), 503-504
DOI: https://doi.org/10.1090/S0002-9939-1951-0041159-7
Order properties of bounded self-adjoint operators
Richard V. Kadison
Proc. Amer. Math. Soc. 2 (1951), 505-510
DOI: https://doi.org/10.1090/S0002-9939-1951-0042064-2