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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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Porous sets and convergence of Fourier series
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by Casper Goffman PDF
Proc. Amer. Math. Soc. 123 (1995), 3701-3703 Request permission

Abstract:

In this note, examples are given of a continuous function whose graph is porous but whose Fourier series diverges at a point and of a continuous function whose graph is not porous but whose Fourier series converges uniformly.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3701-3703
  • MSC: Primary 42A16
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1283550-6
  • MathSciNet review: 1283550