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 Lapl...

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Main Authors:	Akhmedov, Anvarjon, Rasedee, Ahmad Fadly Nurullah, Rakhimov, Abdumalik A.
Format:	Article
Language:	English
Published:	Institute Mathematical Sciences, Universiti Putra Malaysia 2013
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/1/10._anvarjon%2C_fadly_%26_abdumalik.pdf

id	iium-33983
recordtype	eprints
spelling	iium-339832014-01-08T08:29:23Z http://irep.iium.edu.my/33983/ Localization of Fourier-Laplace series of distributions Akhmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah Rakhimov, Abdumalik A. QA Mathematics 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 Mathematical Sciences, Universiti Putra Malaysia 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/33983/1/10._anvarjon%2C_fadly_%26_abdumalik.pdf Akhmedov, Anvarjon and Rasedee, Ahmad Fadly Nurullah and Rakhimov, Abdumalik A. (2013) Localization of Fourier-Laplace series of distributions. Malaysian Journal of Mathematical Sciences, 7 (2). pp. 315-326. ISSN 1823-8343 http://einspem.upm.edu.my/journal/fullpaper/vol7no2/10.%20anvarjon,%20fadly%20&%20abdumalik.pdf
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Akhmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah Rakhimov, Abdumalik A. Localization of Fourier-Laplace series of distributions
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	Akhmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah Rakhimov, Abdumalik A.
author_facet	Akhmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah Rakhimov, Abdumalik A.
author_sort	Akhmedov, 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 Mathematical Sciences, Universiti Putra Malaysia
publishDate	2013
url	http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/1/10._anvarjon%2C_fadly_%26_abdumalik.pdf
first_indexed	2023-09-18T20:49:03Z
last_indexed	2023-09-18T20:49:03Z
_version_	1777409871317041152

Localization of Fourier-Laplace series of distributions

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