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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Birelations and Sidon sets
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by S. W. Drury PDF
Proc. Amer. Math. Soc. 53 (1975), 123-128 Request permission

Abstract:

It is shown that a knowledge of the set of birelations with coefficients $- 1,\;0,\;1$ supported on a subset of a discrete abelian group is enough to determine whether the subset has the Sidon property or not.
References
  • Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
  • S. W. Drury, Unions of sets of interpolation, Conference on Harmonic Analysis (Univ. Maryland, College Park, Md., 1971), Lecture Notes in Math., Vol. 266, Springer, Berlin, 1972, pp. 23–33. MR 0394059
  • Daniel Rider, Gap series on groups and spheres, Canadian J. Math. 18 (1966), 389–398. MR 190635, DOI 10.4153/CJM-1966-041-0
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 123-128
  • MSC: Primary 43A46; Secondary 42A44
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0380275-3
  • MathSciNet review: 0380275