Contents of Volume 1, Number 4

All articles in this issue are freely accessible.

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On Chern’s invariant for Riemannian $4$-manifolds

Hans Samelson.
Proc. Amer. Math. Soc. 1 (1950), 415-417
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MathSciNet review: 0037044

Finitely-valued cohomology groups

John W. Keesee.
Proc. Amer. Math. Soc. 1 (1950), 418-422
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MathSciNet review: 0036993

A note on a combinatorial problem

H. J. Ryser.
Proc. Amer. Math. Soc. 1 (1950), 422-424
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MathSciNet review: 0036732

Linear representations of topological groups

Morikuni Gotô.
Proc. Amer. Math. Soc. 1 (1950), 425-437
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MathSciNet review: 0038982

On a conjecture on simple groups

I. N. Herstein.
Proc. Amer. Math. Soc. 1 (1950), 438-439
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MathSciNet review: 0037298

On a semi-group of subsets of a linear space

R. E. Fullerton.
Proc. Amer. Math. Soc. 1 (1950), 440-442
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MathSciNet review: 0036941

Note on the arithmetic of bilinear transformations

Donald M. Adelman.
Proc. Amer. Math. Soc. 1 (1950), 443-448
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MathSciNet review: 0036774

Minimal identities for algebras

A. S. Amitsur and J. Levitzki.
Proc. Amer. Math. Soc. 1 (1950), 449-463
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MathSciNet review: 0036751

On matrices whose characteristic equations are identical

W. V. Parker.
Proc. Amer. Math. Soc. 1 (1950), 464-466
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MathSciNet review: 0036215

Simply connected homogeneous spaces

Deane Montgomery.
Proc. Amer. Math. Soc. 1 (1950), 467-469
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MathSciNet review: 0037311

Roots and factors of ordinals

Philip W. Carruth.
Proc. Amer. Math. Soc. 1 (1950), 470-480
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MathSciNet review: 0036807

On the decomposition of orthogonalities into symmetries

Peter Scherk.
Proc. Amer. Math. Soc. 1 (1950), 481-491
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MathSciNet review: 0036762

On the polynomial solutions of the generalized Lamé differential equation

Morris Marden.
Proc. Amer. Math. Soc. 1 (1950), 492-497
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MathSciNet review: 0036875

On the algebraic integrals of a system of differential equations of mechanics

J. A. Breves Filho.
Proc. Amer. Math. Soc. 1 (1950), 498-505
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MathSciNet review: 0038528

Note on the functional equations $f(xy)=f(x)+f(y)$, $f(x^{n})=nf(x)$

Joseph Milkman.
Proc. Amer. Math. Soc. 1 (1950), 505-508
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MathSciNet review: 0038543

Transitive systems of linear operators on a Banach space

Bertram Yood.
Proc. Amer. Math. Soc. 1 (1950), 509-511
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MathSciNet review: 0037466

On lacunary Dirichlet series

I. I. Hirschman and J. A. Jenkins.
Proc. Amer. Math. Soc. 1 (1950), 512-517
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MathSciNet review: 0036836

On the absolute convergence of trigonometrical series

Tamotsu Tsuchikura and Shigeki Yano.
Proc. Amer. Math. Soc. 1 (1950), 517-521
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MathSciNet review: 0036855

On double Fourier series

Gen-Ichirô Sunouchi.
Proc. Amer. Math. Soc. 1 (1950), 522-525
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MathSciNet review: 0037386

On the strong summability of Fourier series

Gen-Ichirô Sunouchi.
Proc. Amer. Math. Soc. 1 (1950), 526-533
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MathSciNet review: 0037385

On theorems of M. Riesz and Zygmund

A. P. Calderón.
Proc. Amer. Math. Soc. 1 (1950), 533-535
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MathSciNet review: 0037394

Summability and analytic continuation

V. F. Cowling.
Proc. Amer. Math. Soc. 1 (1950), 536-542
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MathSciNet review: 0036326

A Bessel function expansion

Morris Kline.
Proc. Amer. Math. Soc. 1 (1950), 543-552
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MathSciNet review: 0037958

On a simple property of the derivatives of Legendre’s polynomials

Emil Grosswald.
Proc. Amer. Math. Soc. 1 (1950), 553-554
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MathSciNet review: 0036877

Applications of a lemma of Fejér to typically-real functions

M. S. Robertson.
Proc. Amer. Math. Soc. 1 (1950), 555-561
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MathSciNet review: 0037344

On conformal mapping of nearly circular regions

S. E. Warschawski.
Proc. Amer. Math. Soc. 1 (1950), 562-574
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MathSciNet review: 0036837