Transactions of the American Mathematical Society

Contents of Volume 71, Number 1
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On approximation to functions satisfying a generalized continuity condition

H. Margaret Elliott

Trans. Amer. Math. Soc. 71 (1951), 1-23

DOI: https://doi.org/10.1090/S0002-9947-1951-0044627-1

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

Maria Weber

Trans. Amer. Math. Soc. 71 (1951), 24-37

DOI: https://doi.org/10.1090/S0002-9947-1951-0042035-0

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Random Fourier transforms

G. A. Hunt

Trans. Amer. Math. Soc. 71 (1951), 38-69

DOI: https://doi.org/10.1090/S0002-9947-1951-0051340-3

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

Paul T. Bateman

Trans. Amer. Math. Soc. 71 (1951), 70-101

DOI: https://doi.org/10.1090/S0002-9947-1951-0042438-4

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

B. N. Moyls

Trans. Amer. Math. Soc. 71 (1951), 102-112

DOI: https://doi.org/10.1090/S0002-9947-1951-0041838-6

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An open mapping approach to Hurwitz’s theorem

G. T. Whyburn

Trans. Amer. Math. Soc. 71 (1951), 113-119

DOI: https://doi.org/10.1090/S0002-9947-1951-0042693-0

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On a class of Markov processes

M. Rosenblatt

Trans. Amer. Math. Soc. 71 (1951), 120-135

DOI: https://doi.org/10.1090/S0002-9947-1951-0043406-9

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On the spherical summability of multiple orthogonal series

Josephine Mitchell

Trans. Amer. Math. Soc. 71 (1951), 136-151

DOI: https://doi.org/10.1090/S0002-9947-1951-0047180-1

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Topologies on spaces of subsets

Ernest Michael

Trans. Amer. Math. Soc. 71 (1951), 152-182

DOI: https://doi.org/10.1090/S0002-9947-1951-0042109-4

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