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Localization of fourier-laplace series of distributions

This work was intended as an attempt to extend the results on localization of Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompostions of Laplace...

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Main Authors: Ahmedov, Anvarjon, Nurullah, Ahmad Fadly, Rakhimov, Abdumalik
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2013
Online Access:http://psasir.upm.edu.my/id/eprint/28848/1/28848.pdf
http://psasir.upm.edu.my/id/eprint/28848/
http://einspem.upm.edu.my/journal/fullpaper/vol7no2/10.%20anvarjon,%20fadly%20&%20abdumalik.pdf
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spelling my.upm.eprints.288482015-05-26T08:02:47Z http://psasir.upm.edu.my/id/eprint/28848/ Localization of fourier-laplace series of distributions Ahmedov, Anvarjon Nurullah, Ahmad Fadly Rakhimov, Abdumalik This work was intended as an attempt to extend the results on localization of Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompostions of Laplace-Beltrami operator. It was of interest to establish sufficient conditions for localization of the spectral expansions of distribution to clarify the latter some relevant counter examples are indicated. Institute for Mathematical Research, Universiti Putra Malaysia 2013-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/28848/1/28848.pdf Ahmedov, Anvarjon and Nurullah, Ahmad Fadly and Rakhimov, Abdumalik (2013) Localization of fourier-laplace series of distributions. Malaysian Journal of Mathematical Sciences, 7 (2). pp. 315-326. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol7no2/10.%20anvarjon,%20fadly%20&%20abdumalik.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description This work was intended as an attempt to extend the results on localization of Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompostions of Laplace-Beltrami operator. It was of interest to establish sufficient conditions for localization of the spectral expansions of distribution to clarify the latter some relevant counter examples are indicated.
format Article
author Ahmedov, Anvarjon
Nurullah, Ahmad Fadly
Rakhimov, Abdumalik
spellingShingle Ahmedov, Anvarjon
Nurullah, Ahmad Fadly
Rakhimov, Abdumalik
Localization of fourier-laplace series of distributions
author_facet Ahmedov, Anvarjon
Nurullah, Ahmad Fadly
Rakhimov, Abdumalik
author_sort Ahmedov, Anvarjon
title Localization of fourier-laplace series of distributions
title_short Localization of fourier-laplace series of distributions
title_full Localization of fourier-laplace series of distributions
title_fullStr Localization of fourier-laplace series of distributions
title_full_unstemmed Localization of fourier-laplace series of distributions
title_sort localization of fourier-laplace series of distributions
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/28848/1/28848.pdf
http://psasir.upm.edu.my/id/eprint/28848/
http://einspem.upm.edu.my/journal/fullpaper/vol7no2/10.%20anvarjon,%20fadly%20&%20abdumalik.pdf
_version_ 1643829586435244032
score 13.211869

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