On the summability of the spectral expansions associated with the elliptic differential operators
In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on...
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| Format: | Proceeding Paper |
| Language: | English English |
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IOP Publishing Ltd.
2018
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| Online Access: | http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/7/64162%20On%20the%20summability%20of%20the%20spectral%20expansions.pdf http://irep.iium.edu.my/64162/13/64162%20On%20the%20summability%20of%20the%20spectral%20expansions_Scopus.pdf |
| _version_ | 1848786158483406848 |
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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 problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on the summability of the Fourier expansions in the generalised Holder spaces and in the Sobolev spaces of the mixed norm proved. The conditions obtained are accurate in the classes of considered distributions. |
| first_indexed | 2025-11-14T17:04:35Z |
| format | Proceeding Paper |
| id | iium-64162 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:04:35Z |
| publishDate | 2018 |
| publisher | IOP Publishing Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-641622019-07-16T01:52:41Z http://irep.iium.edu.my/64162/ On the summability of the spectral expansions associated with the elliptic differential operators Rakhimov, Abdumalik QA Mathematics In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on the summability of the Fourier expansions in the generalised Holder spaces and in the Sobolev spaces of the mixed norm proved. The conditions obtained are accurate in the classes of considered distributions. IOP Publishing Ltd. 2018-12-10 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/64162/7/64162%20On%20the%20summability%20of%20the%20spectral%20expansions.pdf application/pdf en http://irep.iium.edu.my/64162/13/64162%20On%20the%20summability%20of%20the%20spectral%20expansions_Scopus.pdf Rakhimov, Abdumalik (2018) On the summability of the spectral expansions associated with the elliptic differential operators. In: 3rd International Conference on Mathematical Sciences and Statistics, 6th–8th February 2018, Putrajaya. http://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012013/pdf 10.1088/1742-6596/1132/1/012013 |
| spellingShingle | QA Mathematics Rakhimov, Abdumalik On the summability of the spectral expansions associated with the elliptic differential operators |
| title | On the summability of the spectral expansions associated with the elliptic differential operators |
| title_full | On the summability of the spectral expansions associated with the elliptic differential operators |
| title_fullStr | On the summability of the spectral expansions associated with the elliptic differential operators |
| title_full_unstemmed | On the summability of the spectral expansions associated with the elliptic differential operators |
| title_short | On the summability of the spectral expansions associated with the elliptic differential operators |
| title_sort | on the summability of the spectral expansions associated with the elliptic differential operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/7/64162%20On%20the%20summability%20of%20the%20spectral%20expansions.pdf http://irep.iium.edu.my/64162/13/64162%20On%20the%20summability%20of%20the%20spectral%20expansions_Scopus.pdf |