On the Localization of the Riesz Means of Multiple Fourier Series of Distributions

We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.

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Bibliographic Details
Main Author: A. A. Rakhimov
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/731249
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Description
Summary:We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.
ISSN:1085-3375
1687-0409