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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 the a.e. convergence of Walsh-Kaczmarz-Fourier series
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by Wo Sang Young PDF
Proc. Amer. Math. Soc. 44 (1974), 353-358 Request permission

Abstract:

It is shown that partial sums of Walsh-Kaczmarz-Fourier series of functions in the Orlicz class $L{({\log ^ + }L)^2}$ converge a.e. The proof utilizes an estimate of P. Sjölin on the partial sums of the usual Walsh-Fourier series.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 44 (1974), 353-358
  • MSC: Primary 42A56
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0350310-6
  • MathSciNet review: 0350310