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Fourier Series

In: Fourier Analysis and Approximation of Functions

Author

Listed:
  • Roald M. Trigub

    (Donetsk National University)

  • Eduard S. Bellinsky

    (University of West Indies)

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.

Suggested Citation

  • Roald M. Trigub & Eduard S. Bellinsky, 2004. "Fourier Series," Springer Books, in: Fourier Analysis and Approximation of Functions, chapter 0, pages 25-66, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-2876-2_2
    DOI: 10.1007/978-1-4020-2876-2_2
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