Proceedings of the American Mathematical Society

Contents of Volume 3, Number 2
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A remark on the $\alpha +\beta$ theorem

Luther Cheo

Proc. Amer. Math. Soc. 3 (1952), 175-177

DOI: https://doi.org/10.1090/S0002-9939-1952-0047070-0

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On extensions of difference fields and the resolvents of prime difference ideals

Richard M. Cohn

Proc. Amer. Math. Soc. 3 (1952), 178-182

DOI: https://doi.org/10.1090/S0002-9939-1952-0047023-2

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Orthogonality relation for Frobenius- and quasi-Frobenius-algebras

Tadasi Nakayama

Proc. Amer. Math. Soc. 3 (1952), 183-195

DOI: https://doi.org/10.1090/S0002-9939-1952-0049876-0

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Elementary proof of a norm theorem

Harley Flanders

Proc. Amer. Math. Soc. 3 (1952), 196

DOI: https://doi.org/10.1090/S0002-9939-1952-0047022-0

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A remark on Kronecker’s theorem on forms

Harley Flanders

Proc. Amer. Math. Soc. 3 (1952), 197

DOI: https://doi.org/10.1090/S0002-9939-1952-0048497-3

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Note on determinants of sines and cosines

E. G. Rodeja F.

Proc. Amer. Math. Soc. 3 (1952), 198-205

DOI: https://doi.org/10.1090/S0002-9939-1952-0046326-5

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Fields of values of a matrix

Wallace Givens

Proc. Amer. Math. Soc. 3 (1952), 206-209

DOI: https://doi.org/10.1090/S0002-9939-1952-0047004-9

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On cubic equations $z^ 2=f(x,y)$ with an infinity of integer solutions

L. J. Mordell

Proc. Amer. Math. Soc. 3 (1952), 210-217

DOI: https://doi.org/10.1090/S0002-9939-1952-0047067-0

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On the set of values of a nonatomic, finitely additive, finite measure

R. J. Nunke and L. J. Savage

Proc. Amer. Math. Soc. 3 (1952), 217-218

DOI: https://doi.org/10.1090/S0002-9939-1952-0049272-6

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Mean convergence of orthogonal series

Jerome Newman and Walter Rudin

Proc. Amer. Math. Soc. 3 (1952), 219-222

DOI: https://doi.org/10.1090/S0002-9939-1952-0047811-2

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On the methods of Rayleigh-Ritz-Weinstein

C. Arf

Proc. Amer. Math. Soc. 3 (1952), 223-232

DOI: https://doi.org/10.1090/S0002-9939-1952-0047927-0

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On some functions holomorphic in an infinite region

Chia-Yung Yu

Proc. Amer. Math. Soc. 3 (1952), 232-236

DOI: https://doi.org/10.1090/S0002-9939-1952-0047132-8

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Generalizations of a theorem of Sierpinski and Zygmund on continuous functions

C. J. Pipes

Proc. Amer. Math. Soc. 3 (1952), 237-243

DOI: https://doi.org/10.1090/S0002-9939-1952-0048549-8

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On a converse of Abel’s theorem

Ammon Amir

Proc. Amer. Math. Soc. 3 (1952), 244-256

DOI: https://doi.org/10.1090/S0002-9939-1952-0047153-5

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On products of summability methods

Otto Szász

Proc. Amer. Math. Soc. 3 (1952), 257-263

DOI: https://doi.org/10.1090/S0002-9939-1952-0047152-3

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A note on indefinite integrals

J. D. Hill

Proc. Amer. Math. Soc. 3 (1952), 263-269

DOI: https://doi.org/10.1090/S0002-9939-1952-0047121-3

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On invariant subspaces of normal operators

John Wermer

Proc. Amer. Math. Soc. 3 (1952), 270-277

DOI: https://doi.org/10.1090/S0002-9939-1952-0048700-X

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A uniqueness theorem for a class of harmonic functions

A. J. Lohwater

Proc. Amer. Math. Soc. 3 (1952), 278-279

DOI: https://doi.org/10.1090/S0002-9939-1952-0046494-5

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A remark on characteristics

M. H. Martin

Proc. Amer. Math. Soc. 3 (1952), 280-281

DOI: https://doi.org/10.1090/S0002-9939-1952-0047240-1

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Moments which are integers

R. M. Redheffer

Proc. Amer. Math. Soc. 3 (1952), 282

DOI: https://doi.org/10.1090/S0002-9939-1952-0047090-6

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Differentiation with respect to $\phi$-pseudo-strong blankets and related problems

Charles A. Hayes

Proc. Amer. Math. Soc. 3 (1952), 283-296

DOI: https://doi.org/10.1090/S0002-9939-1952-0048545-0

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On the Sheffer $A$-type of polynomials generated by $\phi (t)f(xt)$

William N. Huff and Earl D. Rainville

Proc. Amer. Math. Soc. 3 (1952), 296-299

DOI: https://doi.org/10.1090/S0002-9939-1952-0047197-3

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A theorem on conjugate nets in projective hyperspace

P. O. Bell

Proc. Amer. Math. Soc. 3 (1952), 300-302

DOI: https://doi.org/10.1090/S0002-9939-1952-0046708-1

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An extension of renewal theory

Kai Lai Chung and Harry Pollard

Proc. Amer. Math. Soc. 3 (1952), 303-309

DOI: https://doi.org/10.1090/S0002-9939-1952-0048734-5

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On the distribution of a convex even function of several independent rounding-off errors

H. P. Mulholland

Proc. Amer. Math. Soc. 3 (1952), 310-321

DOI: https://doi.org/10.1090/S0002-9939-1952-0048148-8

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A note on everywhere dense subgroups

B. J. Pettis

Proc. Amer. Math. Soc. 3 (1952), 322-326

DOI: https://doi.org/10.1090/S0002-9939-1952-0047052-9

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Spaces of mappings on topological products with applications to homotopy theory

James R. Jackson

Proc. Amer. Math. Soc. 3 (1952), 327-333

DOI: https://doi.org/10.1090/S0002-9939-1952-0047322-4

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A theorem on involutory transformations without fixed points

Amasa Forrester

Proc. Amer. Math. Soc. 3 (1952), 333-334

DOI: https://doi.org/10.1090/S0002-9939-1952-0048804-1

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