Fourier Series

  • Roald M. Trigub
  • Eduard S. Bellinsky


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.


Harmonic Function Fourier Series Hardy Space Trigonometric Series Poisson Kernel 
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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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