Localization principle of the spectral expansions of distributions connected with Schodinger operator.
In this paper the localization properties of the spectral expansions of distributions related to the self adjoint extension of the Schrodinger operator are investigated. Spectral decompositions of the distributions and some classes of distributions are defined. Estimations for Riesz means of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/23267/ http://psasir.upm.edu.my/id/eprint/23267/1/Localization%20principle%20of%20the%20spectral%20expansions%20of%20distributions%20connected%20with%20Schodinger%20operator.pdf |
| _version_ | 1848844709715247104 |
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| author | Ahmedov, Anvarjon Rakhimov, Abdumalik Zainuddin, Hishamuddin |
| author_facet | Ahmedov, Anvarjon Rakhimov, Abdumalik Zainuddin, Hishamuddin |
| author_sort | Ahmedov, Anvarjon |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper the localization properties of the spectral expansions of distributions related
to the self adjoint extension of the Schrodinger operator are investigated. Spectral decompositions of
the distributions and some classes of distributions are defined. Estimations for Riesz means of the
spectral decompositions of the distributions in the norm of the Sobolev classes with negative order
are obtained. |
| first_indexed | 2025-11-15T08:35:14Z |
| format | Article |
| id | upm-23267 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:35:14Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-232672015-10-09T07:36:11Z http://psasir.upm.edu.my/id/eprint/23267/ Localization principle of the spectral expansions of distributions connected with Schodinger operator. Ahmedov, Anvarjon Rakhimov, Abdumalik Zainuddin, Hishamuddin In this paper the localization properties of the spectral expansions of distributions related to the self adjoint extension of the Schrodinger operator are investigated. Spectral decompositions of the distributions and some classes of distributions are defined. Estimations for Riesz means of the spectral decompositions of the distributions in the norm of the Sobolev classes with negative order are obtained. 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23267/1/Localization%20principle%20of%20the%20spectral%20expansions%20of%20distributions%20connected%20with%20Schodinger%20operator.pdf Ahmedov, Anvarjon and Rakhimov, Abdumalik and Zainuddin, Hishamuddin (2011) Localization principle of the spectral expansions of distributions connected with Schodinger operator. Australian Journal of Basic and Applied Sciences, 5 (5). pp. 1-4. ISSN 1991-8178 http://www.ajbasweb.com/old/ajbas/2011/1-4.pdf |
| spellingShingle | Ahmedov, Anvarjon Rakhimov, Abdumalik Zainuddin, Hishamuddin Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title | Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title_full | Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title_fullStr | Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title_full_unstemmed | Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title_short | Localization principle of the spectral expansions of distributions connected with Schodinger operator. |
| title_sort | localization principle of the spectral expansions of distributions connected with schodinger operator. |
| url | http://psasir.upm.edu.my/id/eprint/23267/ http://psasir.upm.edu.my/id/eprint/23267/ http://psasir.upm.edu.my/id/eprint/23267/1/Localization%20principle%20of%20the%20spectral%20expansions%20of%20distributions%20connected%20with%20Schodinger%20operator.pdf |