Transactions of the American Mathematical Society

Contents of Volume 57, Number 3
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Certain classes of analytic functions of two real variables and their properties

Stefan Bergman

Trans. Amer. Math. Soc. 57 (1945), 299-331

DOI: https://doi.org/10.1090/S0002-9947-1945-0012370-8

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Orthonormal sets of periodic functions of the type $\{f(nx)\}$

D. G. Bourgin and C. W. Mendel

Trans. Amer. Math. Soc. 57 (1945), 332-363

DOI: https://doi.org/10.1090/S0002-9947-1945-0012158-8

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Structure theorems for a special class of Banach algebras

Warren Ambrose

Trans. Amer. Math. Soc. 57 (1945), 364-386

DOI: https://doi.org/10.1090/S0002-9947-1945-0013235-8

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Valuation ideals in polynomial rings

A. Seidenberg

Trans. Amer. Math. Soc. 57 (1945), 387-425

DOI: https://doi.org/10.1090/S0002-9947-1945-0012270-3

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Fields in terms of a single operation

Robert J. Levit

Trans. Amer. Math. Soc. 57 (1945), 426-440

DOI: https://doi.org/10.1090/S0002-9947-1945-0012274-0

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Geometries of matrices. I. Generalizations of von Staudt’s theorem

Loo-Keng Hua

Trans. Amer. Math. Soc. 57 (1945), 441-481

DOI: https://doi.org/10.1090/S0002-9947-1945-0012679-8

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Geometries of matrices. $I_ 1$. Arithmetical construction

Loo-Keng Hua

Trans. Amer. Math. Soc. 57 (1945), 482-490

DOI: https://doi.org/10.1090/S0002-9947-1945-0012680-4

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