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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| Format: | Article |
| Language: | English |
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Institute Mathematical Sciences, Universiti Putra Malaysia
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/33983/ http://irep.iium.edu.my/33983/1/10._anvarjon%2C_fadly_%26_abdumalik.pdf |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:40:00Z |
| format | Article |
| id | iium-33983 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:40:00Z |
| publishDate | 2013 |
| publisher | Institute Mathematical Sciences, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| spellingShingle | QA Mathematics Akhmedov, Anvarjon Rasedee, Ahmad Fadly Nurullah Rakhimov, Abdumalik A. Localization of Fourier-Laplace series of distributions |
| title | 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_short | Localization of Fourier-Laplace series of distributions |
| title_sort | localization of fourier-laplace series of distributions |
| topic | QA Mathematics |
| 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 |