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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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Local $p$-Sidon sets for Lie groups
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by A. H. Dooley and Paolo M. Soardi PDF
Proc. Amer. Math. Soc. 72 (1978), 125-126 Request permission

Abstract:

It is shown that a compact Lie group admits no local p-Sidon sets of unbounded degree.
References
  • A. H. Dooley, Norms of characters and lacunarity for compact Lie groups, J. Functional Analysis 32 (1979), no. 2, 254–267. MR 534677, DOI 10.1016/0022-1236(79)90057-0
  • Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Die Grundlehren der mathematischen Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. MR 0262773
  • J. F. Price, Local Sidon sets and uniform convergence of Fourier series, Israel J. Math. 17 (1974), 169–175. MR 346427, DOI 10.1007/BF02882236
  • P. M. Soardi, $\mathcal {S}\;{\mathcal {U}_2}$ has no infinite local p-Sidon sets (preprint).
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 72 (1978), 125-126
  • MSC: Primary 43A40
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0493179-5
  • MathSciNet review: 0493179