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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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Singular measures with spectral gaps
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by Russell Lyons PDF
Proc. Amer. Math. Soc. 104 (1988), 86-88 Request permission

Abstract:

We show that every Borel measure on the circle whose Fourier spectrum has lacunary-type gaps annihilates every $H$-set.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 86-88
  • MSC: Primary 43A46; Secondary 42A55, 42A63
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958048-9
  • MathSciNet review: 958048