Startseite On the Convergence and Summability of N-Dimensional Fourier Series with Respect to the Walsh–Paley Systems in the Spaces LP([0, 1]N), p ∈ [1, + ∞]
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On the Convergence and Summability of N-Dimensional Fourier Series with Respect to the Walsh–Paley Systems in the Spaces LP([0, 1]N), p ∈ [1, + ∞]

  • U. Goginava
Veröffentlicht/Copyright: 18. Februar 2010
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Georgian Mathematical Journal
Aus der Zeitschrift Band 7 Heft 1

Abstract

The convergence and summability of N-dimensional Walsh–Fourier series in the metrics LP([0, 1]N), p ∈ [1, + ∞], are studied by the negative order Césaro method. Getsadze's theorem and a generalization of Moricz' theorem are obtained as special cases.

Received: 1998-02-09
Published Online: 2010-02-18
Published in Print: 2000-March

© Heldermann Verlag

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