On the regularization of the spectral expansions of distributions with compact support

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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Main Author: Rakhimov, Abdumalik
Format: Article
Language:English
Published: Federation of Engineering Institutions of Islamic Countries. 2016
Subjects:
QA Mathematics
Online Access: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
id iium-51947
recordtype eprints
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
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
Rakhimov, Abdumalik
On the regularization of the spectral expansions of distributions with compact support
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.
format Article
author Rakhimov, Abdumalik
author_facet Rakhimov, Abdumalik
author_sort Rakhimov, Abdumalik
title 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_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_sort on the regularization of the spectral expansions of distributions with compact support
publisher Federation of Engineering Institutions of Islamic Countries.
publishDate 2016
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
first_indexed 2023-09-18T21:13:39Z
last_indexed 2023-09-18T21:13:39Z
_version_ 1777411418928185344

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