On the sufficient conditions of the localization of the Fourier-Laplace series of distributions from liouville classes

In this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the sufficient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.

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Bibliographic Details
Main Authors: Ahmedov, Anvarjon A., Rasedee, Ahmad Fadly Nurullah, Rakhimov, Abdumalik
Format: Article
Language:English
Published: IOP Publishing 2013
Online Access:http://psasir.upm.edu.my/id/eprint/28846/1/On%20the%20sufficient%20conditions%20of%20the%20localization%20of%20the%20Fourier.pdf
http://psasir.upm.edu.my/id/eprint/28846/
http://iopscience.iop.org/1742-6596/435/1/012016
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Institution: Universiti Putra Malaysia
Language: English
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Summary:In this work we investigate the localization principle of the Fourier-Laplace series of the distribution. Here we prove the sufficient conditions of the localization of the Riesz means of the spectral expansions of the Laplace-Beltrami operator on the unit sphere.