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Fourier Series

  • Roald M. Trigub
  • Eduard S. Bellinsky

Abstract

In this chapter trigonometric Fourier series are studied. Convergence and divergence problems, the Fejér and the Abel-Poisson summability methods, and the association of the Fourier series problems with those for the Hardy spaces in the circle are among the subjects. Onedimensional series are considered in Sections 2.1-2.3, while multidimensional series are studied in Section 2.4.

Keywords

Harmonic Function Fourier Series Hardy Space Trigonometric Series Poisson Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Roald M. Trigub
    • 1
  • Eduard S. Bellinsky
    • 2
  1. 1.Donetsk National UniversityDonetskUkraine
  2. 2.University of West IndiesBridgetownBarbados

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