Localization of the spectral expansions associated with the partial differential operators
In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the dist...
| Main Author: | |
|---|---|
| Format: | Book Chapter |
| Language: | English |
| Published: |
Springer, Cham
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/76499/ http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf |
| _version_ | 1848788292723539968 |
|---|---|
| author | Rakhimov, Abdumalik |
| author_facet | Rakhimov, Abdumalik |
| author_sort | Rakhimov, Abdumalik |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the distributions with the compact support and classify the distributions with the Sobolev spaces. All theorems are formulated in terms of the smoothness and degree of the regularizations. |
| first_indexed | 2025-11-14T17:38:31Z |
| format | Book Chapter |
| id | iium-76499 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:38:31Z |
| publishDate | 2018 |
| publisher | Springer, Cham |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-764992020-08-06T07:10:59Z http://irep.iium.edu.my/76499/ Localization of the spectral expansions associated with the partial differential operators Rakhimov, Abdumalik QA300 Analysis TK7885 Computer engineering In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the distributions with the compact support and classify the distributions with the Sobolev spaces. All theorems are formulated in terms of the smoothness and degree of the regularizations. Springer, Cham 2018-08-21 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf Rakhimov, Abdumalik (2018) Localization of the spectral expansions associated with the partial differential operators. In: Mathematical Methods in Engineering : Theoretical Aspects. Nonlinear Systems and Complexity (23). Springer, Cham, Switzerland AG, pp. 217-233. ISBN 978-3-319-91064-2 https://link.springer.com/chapter/10.1007/978-3-319-91065-9_11 https://doi.org/10.1007/978-3-319-91065-9 |
| spellingShingle | QA300 Analysis TK7885 Computer engineering Rakhimov, Abdumalik Localization of the spectral expansions associated with the partial differential operators |
| title | Localization of the spectral expansions associated with the partial differential operators |
| title_full | Localization of the spectral expansions associated with the partial differential operators |
| title_fullStr | Localization of the spectral expansions associated with the partial differential operators |
| title_full_unstemmed | Localization of the spectral expansions associated with the partial differential operators |
| title_short | Localization of the spectral expansions associated with the partial differential operators |
| title_sort | localization of the spectral expansions associated with the partial differential operators |
| topic | QA300 Analysis TK7885 Computer engineering |
| url | http://irep.iium.edu.my/76499/ http://irep.iium.edu.my/76499/ http://irep.iium.edu.my/76499/ http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf |