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Pointwise Convergence of Fourier Series

  • Pierre Brémaud
Chapter

Abstract

The inversion formula for Fourier series obtained in Chapter A2 requires a rather strong condition of summability of the Fourier coefficients series. Moreover, this condition implies that the function itself is almost everywhere equal to a continuous function. In this section, the class of functions for which the inversion formula holds is extended.

Keywords

Fourier Series Fourier Coefficient Inversion Formula Pointwise Convergence Poisson Formula 
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References

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Pierre Brémaud
    • 1
    • 2
  1. 1.École Polytechnique Fédérale de LausanneSwitzerland
  2. 2.INRIA/École Normale SupérieureFrance

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