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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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On a theorem of Menchoff
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by Y. Katznelson PDF
Proc. Amer. Math. Soc. 53 (1975), 396-398 Request permission

Abstract:

Construction of a continuous real-valued function which disagrees almost everywhere with any absolutely convergent Fourier series.
References
  • N. K. Bari, Trigonometricheskie ryady, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). With the editorial collaboration of P. L. Ul′janov. MR 0126115
  • Yitzhak Katznelson, An introduction to harmonic analysis, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0248482
  • Norbert Wiener, The Fourier integral and certain of its applications, Dover Publications, Inc., New York, 1959. MR 0100201
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 396-398
  • MSC: Primary 42A28
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0380242-X
  • MathSciNet review: 0380242