On the regularization of the spectral expansions of distributions with compact support
In this paper we study the summability of the spectral expansions of distributions from the Sobolev spaces with negative smoothness. The results obtained lead to the development of new interesting research directions of the spectral theory of differential operators. The results can be applied in t...
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| Format: | Article |
| Language: | English |
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Federation of Engineering Institutions of Islamic Countries.
2016
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| Online Access: | http://irep.iium.edu.my/51947/ http://irep.iium.edu.my/51947/1/FIJET_vol13_issue1_18-24.pdf |
| _version_ | 1848783966868340736 |
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| author | Rakhimov, Abdumalik |
| author_facet | Rakhimov, Abdumalik |
| author_sort | Rakhimov, Abdumalik |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we study the summability of the spectral expansions of distributions from the Sobolev spaces with
negative smoothness. The results obtained lead to the development of new interesting research directions of the
spectral theory of differential operators. The results can be applied in the regularization of solutions of the
problems in Engineering with applications of modern spectral methods of mathematical physics and computing
systems in case when initial and/or boundary data of the problems presents some singularities and cannot be
described by locally integrable functions. |
| first_indexed | 2025-11-14T16:29:45Z |
| format | Article |
| id | iium-51947 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:29:45Z |
| publishDate | 2016 |
| publisher | Federation of Engineering Institutions of Islamic Countries. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-519472017-04-28T07:36:23Z http://irep.iium.edu.my/51947/ On the regularization of the spectral expansions of distributions with compact support Rakhimov, Abdumalik QA Mathematics In this paper we study the summability of the spectral expansions of distributions from the Sobolev spaces with negative smoothness. The results obtained lead to the development of new interesting research directions of the spectral theory of differential operators. The results can be applied in the regularization of solutions of the problems in Engineering with applications of modern spectral methods of mathematical physics and computing systems in case when initial and/or boundary data of the problems presents some singularities and cannot be described by locally integrable functions. Federation of Engineering Institutions of Islamic Countries. 2016 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51947/1/FIJET_vol13_issue1_18-24.pdf Rakhimov, Abdumalik (2016) On the regularization of the spectral expansions of distributions with compact support. FEIIC International Journal of Engineering and Technology, 13 (1). pp. 18-24. ISSN 1823-1039 http://www.ijet.feiic.org/images/journals/2016/FIJET_vol13_issue1_18-24.pdf |
| spellingShingle | QA Mathematics Rakhimov, Abdumalik On the regularization of the spectral expansions of distributions with compact support |
| title | On the regularization of the spectral expansions of distributions with compact support |
| title_full | On the regularization of the spectral expansions of distributions with compact support |
| title_fullStr | On the regularization of the spectral expansions of distributions with compact support |
| title_full_unstemmed | On the regularization of the spectral expansions of distributions with compact support |
| title_short | On the regularization of the spectral expansions of distributions with compact support |
| title_sort | on the regularization of the spectral expansions of distributions with compact support |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/51947/ http://irep.iium.edu.my/51947/ http://irep.iium.edu.my/51947/1/FIJET_vol13_issue1_18-24.pdf |