On the approximation of the spectral expansions of distributions in the weak topology
In this paper we study approximations of distributions on a smooth manifold. We obtain sufficient conditions of summation of the series in the weak topology. As applications we consider spectral expansions connected with elliptic partial differential operators.
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| Format: | Article |
| Language: | English |
| Published: |
INSInet Publications
2012
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| Online Access: | http://irep.iium.edu.my/24783/ http://irep.iium.edu.my/24783/1/AJBAS_2012.pdf |
| _version_ | 1848779353885769728 |
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| author | Rakhimov, Abdumalik A. |
| author_facet | Rakhimov, Abdumalik A. |
| author_sort | Rakhimov, Abdumalik A. |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we study approximations of distributions on a smooth manifold. We obtain sufficient conditions of summation of the series in the weak topology. As applications we consider spectral expansions connected with elliptic partial differential operators. |
| first_indexed | 2025-11-14T15:16:26Z |
| format | Article |
| id | iium-24783 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:16:26Z |
| publishDate | 2012 |
| publisher | INSInet Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-247832012-08-02T01:48:24Z http://irep.iium.edu.my/24783/ On the approximation of the spectral expansions of distributions in the weak topology Rakhimov, Abdumalik A. QA Mathematics In this paper we study approximations of distributions on a smooth manifold. We obtain sufficient conditions of summation of the series in the weak topology. As applications we consider spectral expansions connected with elliptic partial differential operators. INSInet Publications 2012 Article PeerReviewed application/pdf en http://irep.iium.edu.my/24783/1/AJBAS_2012.pdf Rakhimov, Abdumalik A. (2012) On the approximation of the spectral expansions of distributions in the weak topology. Australian Journal of Basic and Applied Sciences, 6 (2). pp. 20-24. ISSN 1991-8178 http://www.scopus.com/record/display.url?eid=2-s2.0-84856805837&origin=resultslist&sort=plf-f&src=s&st1=Rakhimov&st2=abdumalik&nlo=1&nlr=20&nls=count-f&sid=SmbzKH4jReQeoZXQCj6guVz%3a163&sot=anl&sdt=aut&sl=42&s=AU-ID%28%22Rakhimov%2c+Abdumalik+A.%22+904391 |
| spellingShingle | QA Mathematics Rakhimov, Abdumalik A. On the approximation of the spectral expansions of distributions in the weak topology |
| title | On the approximation of the spectral expansions of distributions in the weak topology |
| title_full | On the approximation of the spectral expansions of distributions in the weak topology |
| title_fullStr | On the approximation of the spectral expansions of distributions in the weak topology |
| title_full_unstemmed | On the approximation of the spectral expansions of distributions in the weak topology |
| title_short | On the approximation of the spectral expansions of distributions in the weak topology |
| title_sort | on the approximation of the spectral expansions of distributions in the weak topology |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/24783/ http://irep.iium.edu.my/24783/ http://irep.iium.edu.my/24783/1/AJBAS_2012.pdf |