Contents of Volume 2, Number 3

All articles in this issue are freely accessible.

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A note on generalized Tauberian theorems

C. T. Rajagopal.
Proc. Amer. Math. Soc. 2 (1951), 335-349
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MathSciNet review: 0041954

Typically-real functions with assigned zeros

A. W. Goodman.
Proc. Amer. Math. Soc. 2 (1951), 349-357
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MathSciNet review: 0041920

Functions with prescribed Lipschitz condition

W. S. Loud.
Proc. Amer. Math. Soc. 2 (1951), 358-360
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MathSciNet review: 0043182

Note on the Hurwitz zeta-function

N. J. Fine.
Proc. Amer. Math. Soc. 2 (1951), 361-364
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MathSciNet review: 0043194

Remarks on incompleteness of ${e^{i𝜆nx}}$, nonaveraging sets, and entire functions

R. M. Redheffer.
Proc. Amer. Math. Soc. 2 (1951), 365-369
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MathSciNet review: 0041270

On permanent vector-lines in $N$ dimensions

J. L. Synge.
Proc. Amer. Math. Soc. 2 (1951), 370-372
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MathSciNet review: 0041590

Note on a theorem in summability

J. D. Hill.
Proc. Amer. Math. Soc. 2 (1951), 372-373
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MathSciNet review: 0041248

The general form of hypergeometric series of two variables

A. Erdélyi.
Proc. Amer. Math. Soc. 2 (1951), 374-379
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MathSciNet review: 0050066

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
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MathSciNet review: 0041258

The range of certain vector integrals

David Blackwell.
Proc. Amer. Math. Soc. 2 (1951), 390-395
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MathSciNet review: 0041195

On the compatibility of the approximate Perron and the Cesàro-Perron integrals

H. W. Ellis.
Proc. Amer. Math. Soc. 2 (1951), 396-397
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MathSciNet review: 0043867

On the behavior of Fourier sine transforms near the origin

Philip Hartman and Aurel Wintner.
Proc. Amer. Math. Soc. 2 (1951), 398-400
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MathSciNet review: 0041964

Note on the transcendence of certain series

William J. LeVeque.
Proc. Amer. Math. Soc. 2 (1951), 401-403
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MathSciNet review: 0041890

A probabilistic generalization of matric Banach algebras

B. O. Koopman.
Proc. Amer. Math. Soc. 2 (1951), 404-413
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MathSciNet review: 0044753

An ergodic theorem for a noncommutative semigroup of linear operators

J. E. L. Peck.
Proc. Amer. Math. Soc. 2 (1951), 414-421
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MathSciNet review: 0041350

Addendum: Derivatives of infinite order

R. P. Boas and K. Chandrasekharan.
Proc. Amer. Math. Soc. 2 (1951), 422
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MathSciNet review: 0041896

A theorem on conditional extremes with an application to total differentials

L. M. Court.
Proc. Amer. Math. Soc. 2 (1951), 423-428
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MathSciNet review: 0043152

Triangular permutation numbers

John Riordan.
Proc. Amer. Math. Soc. 2 (1951), 429-432
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MathSciNet review: 0041090

On the convergence of approximate solutions of the heat equation to the exact solution

Werner Leutert.
Proc. Amer. Math. Soc. 2 (1951), 433-439
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MathSciNet review: 0043577

The probability of a correct result with a certain rounding-off procedure

W. S. Loud.
Proc. Amer. Math. Soc. 2 (1951), 440-446
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MathSciNet review: 0041528

Collineations in generalized spaces

Jack Levine.
Proc. Amer. Math. Soc. 2 (1951), 447-455
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MathSciNet review: 0042192

On the continuity of parametric linear operations

B. J. Pettis.
Proc. Amer. Math. Soc. 2 (1951), 455-457
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MathSciNet review: 0041348

A remark on chain-homotopy

Tibor Rado.
Proc. Amer. Math. Soc. 2 (1951), 458-463
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MathSciNet review: 0041440

Convex maps

S. K. Stein.
Proc. Amer. Math. Soc. 2 (1951), 464-466
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MathSciNet review: 0041425

Lattice homomorphisms induced by group homomorphisms

Donald G. Higman.
Proc. Amer. Math. Soc. 2 (1951), 467-478
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MathSciNet review: 0041138

Semi-automorphisms of symmetric and alternating groups

Flora Dinkines.
Proc. Amer. Math. Soc. 2 (1951), 478-486
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MathSciNet review: 0041140

Linear independence in Abelian groups

Mary-Elizabeth Hamstrom.
Proc. Amer. Math. Soc. 2 (1951), 487-489
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MathSciNet review: 0041137

On the decomposition of unitary representations of Lie groups

F. I. Mautner.
Proc. Amer. Math. Soc. 2 (1951), 490-496
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MathSciNet review: 0041856

Bounds for determinants with dominant principal diagonal

G. Baley Price.
Proc. Amer. Math. Soc. 2 (1951), 497-502
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MathSciNet review: 0041093

A theorem on quadratic residues

Leo Moser.
Proc. Amer. Math. Soc. 2 (1951), 503-504
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MathSciNet review: 0041159

Order properties of bounded self-adjoint operators

Richard V. Kadison.
Proc. Amer. Math. Soc. 2 (1951), 505-510
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MathSciNet review: 0042064