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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 pointwise convergence of Fourier series of radial functions in several variables
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by Shigehiko Kuratsubo PDF
Proc. Amer. Math. Soc. 127 (1999), 2987-2994 Request permission

Abstract:

We prove the pointwise convergence of the Fourier series for radial functions in several variables, which in the case $n=1$ is the Dirichlet-Jordan theorem itself. In our proof the method for the case of the indicator function of the ball is very useful.
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Additional Information
  • Shigehiko Kuratsubo
  • Affiliation: Department of Mathematics, Hirosaki University, Hirosaki 036, Japan
  • Email: kuratubo@cc.hirosaki-u.ac.jp
  • Received by editor(s): September 30, 1997
  • Received by editor(s) in revised form: January 7, 1998
  • Published electronically: April 28, 1999
  • Communicated by: Frederick W. Gehring
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2987-2994
  • MSC (1991): Primary 42B05
  • DOI: https://doi.org/10.1090/S0002-9939-99-04886-8
  • MathSciNet review: 1605996