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Divergence of Fourier Series

Published online by Cambridge University Press:  20 November 2018

Daniel M. Oberlin
Daniel M. Oberlin*
Affiliation:
Florida State UniversityTallahassee, Florida32306
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Abstract

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This note contains a strengthened version of the following well-known theorem: there exists a continuous function whose Fourier series diverges at a point.

Keywords

42A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 328 - 330
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Katznelson, Y., An Introduction to Harmonic Analysis, John Wiley and Sons, New York, 1968.Google Scholar
2. Oberlin, D., A Rudin-Carleson theorem for uniformly convergent Taylor series, Michigan Math. J. 27 (1980), 309-313.Google Scholar