Contents of Volume 71, Number 1

All articles in this issue are freely accessible.

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On approximation to functions satisfying a generalized continuity condition

H. Margaret Elliott.
Trans. Amer. Math. Soc. 71 (1951), 1-23
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MathSciNet review: 0044627

The fundamental solution of a degenerate partial differential equation of parabolic type

Maria Weber.
Trans. Amer. Math. Soc. 71 (1951), 24-37
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MathSciNet review: 0042035

Random Fourier transforms

G. A. Hunt.
Trans. Amer. Math. Soc. 71 (1951), 38-69
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MathSciNet review: 0051340

On the representations of a number as the sum of three squares

Paul T. Bateman.
Trans. Amer. Math. Soc. 71 (1951), 70-101
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MathSciNet review: 0042438

The structure of valuations of the rational function field $K(x)$

B. N. Moyls.
Trans. Amer. Math. Soc. 71 (1951), 102-112
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MathSciNet review: 0041838

An open mapping approach to Hurwitz’s theorem

G. T. Whyburn.
Trans. Amer. Math. Soc. 71 (1951), 113-119
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MathSciNet review: 0042693

On a class of Markov processes

M. Rosenblatt.
Trans. Amer. Math. Soc. 71 (1951), 120-135
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MathSciNet review: 0043406

On the spherical summability of multiple orthogonal series

Josephine Mitchell.
Trans. Amer. Math. Soc. 71 (1951), 136-151
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MathSciNet review: 0047180

Topologies on spaces of subsets

Ernest Michael.
Trans. Amer. Math. Soc. 71 (1951), 152-182
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MathSciNet review: 0042109