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Proceedings of the American Mathematical Society

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



Local $ p$-Sidon sets for Lie groups

Authors: A. H. Dooley and Paolo M. Soardi
Journal: Proc. Amer. Math. Soc. 72 (1978), 125-126
MSC: Primary 43A40
MathSciNet review: 0493179
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Abstract: It is shown that a compact Lie group admits no local p-Sidon sets of unbounded degree.

References [Enhancements On Off] (What's this?)

  • [1] A. H. Dooley, Norms of characters and lacunarity for compact Lie groups, J. Functional Analysis (to appear). MR 534677 (80i:43011)
  • [2] E. Hewitt and K. A. Ross, Abstract harmonic analysis, vol. 2, Springer-Verlag, Berlin, 1970. MR 0262773 (41:7378)
  • [3] J. F. Price, Local Sidon sets and uniform convergence of Fourier series, Israel J. Math. 17 (1974), 169-175. MR 0346427 (49:11152)
  • [4] P. M. Soardi, $ \mathcal{S}\;{\mathcal{U}_2}$ has no infinite local p-Sidon sets (preprint).

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Article copyright: © Copyright 1978 American Mathematical Society

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