Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain
In this work uniformly convergent problems of the eigenfunction expansions of the Schrödinger operator −Δ+q(y1, y2) with singular potential from W12(Ω) are investigated. Using the estimation of the spectral function of the Schrödinger operator on closed domain and mean value formula for the eigenfun...
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30772/ http://psasir.upm.edu.my/id/eprint/30772/1/Uniformly%20convergence%20of%20the%20spectral%20expansions%20of%20the%20Schrodinger%20operator%20on%20a%20closed%20domain.pdf |
| _version_ | 1848846773209006080 |
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| author | Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik |
| author_facet | Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik |
| author_sort | Ahmedov, Anvarjon A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work uniformly convergent problems of the eigenfunction expansions of the Schrödinger operator −Δ+q(y1, y2) with singular potential from W12(Ω) are investigated. Using the estimation of the spectral function of the Schrödinger operator on closed domain and mean value formula for the eigenfunction the uniformly convergent of the eigenfunction expansions of the functions continuous on the closed domain is proved. |
| first_indexed | 2025-11-15T09:08:02Z |
| format | Article |
| id | upm-30772 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:08:02Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-307722015-09-21T03:47:00Z http://psasir.upm.edu.my/id/eprint/30772/ Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik In this work uniformly convergent problems of the eigenfunction expansions of the Schrödinger operator −Δ+q(y1, y2) with singular potential from W12(Ω) are investigated. Using the estimation of the spectral function of the Schrödinger operator on closed domain and mean value formula for the eigenfunction the uniformly convergent of the eigenfunction expansions of the functions continuous on the closed domain is proved. Institute of Physics Publishing 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30772/1/Uniformly%20convergence%20of%20the%20spectral%20expansions%20of%20the%20Schrodinger%20operator%20on%20a%20closed%20domain.pdf Ahmedov, Anvarjon A. and Jamaludin, Nur Amalina and Rakhimov, Abdumalik (2013) Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain. Journal of Physics: Conference Series, 435 (012014). pp. 1-7. ISSN 1742-6588; ESSN: 1742-6596 10.1088/1742-6596/435/1/012014 |
| spellingShingle | Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title | Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title_full | Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title_fullStr | Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title_full_unstemmed | Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title_short | Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain |
| title_sort | uniformly convergence of the spectral expansions of the schrodinger operator on a closed domain |
| url | http://psasir.upm.edu.my/id/eprint/30772/ http://psasir.upm.edu.my/id/eprint/30772/ http://psasir.upm.edu.my/id/eprint/30772/1/Uniformly%20convergence%20of%20the%20spectral%20expansions%20of%20the%20Schrodinger%20operator%20on%20a%20closed%20domain.pdf |