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.References
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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