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The generalized principle of localization for the N-fold Fourier integrals


Citation

Ahmedov, Anvarjon (2010) The generalized principle of localization for the N-fold Fourier integrals. Malaysian Journal of Mathematical Sciences, 4 (2). pp. 209-225. ISSN 1823-8343

Abstract

In this paper, we investigate the almost everywhere convergence properties of the Riesz means of the eigenfunction expansions (multiple Fourier integrals), associated with Laplace operator. The generalized principle of localization for the Riesz means of the order s = (N-1)(1/p-1/2), 1≤p≤2 is proved.


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Official URL or Download Paper: http://einspem.upm.edu.my/journal/volume4.2.php

Additional Metadata

Item Type: Article
Divisions: Faculty of Engineering
Institute for Mathematical Research
Publisher: Universiti Putra Malaysia Press
Keywords: Riesz means; Multiple Fourier integral; The almost everywhere convergence; Generalized localization principle
Depositing User: Fatimah Zahrah @ Aishah Amran
Date Deposited: 31 Dec 2013 05:28
Last Modified: 27 May 2015 07:42
URI: http://psasir.upm.edu.my/id/eprint/17169
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