Abstract and Applied Analysis
Volume 2011 (2011), Article ID 731249, 8 pages
http://dx.doi.org/10.1155/2011/731249
Research Article

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

A. A. Rakhimov

Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43300 Selangor, Malaysia

Received 1 August 2011; Accepted 13 September 2011

Academic Editor: Gerd Teschke

Copyright © 2011 A. A. Rakhimov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.