Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain
In this work uniformly convergent problems of the eigenfunction expansions of the SchrÄodinger operator ¡¢+q(y1; y2) with singular potential from W1 2 () are investigated. Using the estimation of the spectral function of the SchrÄodinger operator on closed domain and mean value formula for the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute of Physics Publishing
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/30456/4/ICAST_my_and2.pdf |
| _version_ | 1825647327871762432 |
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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. |
| collection | IIUM |
| description | In this work uniformly convergent problems of the eigenfunction expansions of the
SchrÄodinger operator ¡¢+q(y1; y2) with singular potential from W1
2 () are investigated. Using
the estimation of the spectral function of the SchrÄodinger 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 | 2024-03-05T23:16:00Z |
| format | Article |
| id | oai:generic.eprints.org:30456 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T23:16:00Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | oai:generic.eprints.org:304562013-09-23T03:25:13Z http://irep.iium.edu.my/30456/ Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik QA Mathematics In this work uniformly convergent problems of the eigenfunction expansions of the SchrÄodinger operator ¡¢+q(y1; y2) with singular potential from W1 2 () are investigated. Using the estimation of the spectral function of the SchrÄodinger 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://irep.iium.edu.my/30456/4/ICAST_my_and2.pdf Ahmedov, Anvarjon A. and Jamaludin, Nur Amalina and Rakhimov, Abdumalik (2013) Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain. Journal of Physics, 435 (1). pp. 1-7. ISSN 1742-6588 http://iopscience.iop.org/1742-6596/435/1/012014 doi:10.1088/1742-6596/435/1/012014 |
| spellingShingle | QA Mathematics Ahmedov, Anvarjon A. Jamaludin, Nur Amalina Rakhimov, Abdumalik Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title | Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title_full | Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title_fullStr | Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title_full_unstemmed | Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title_short | Uniformly convergence of the spectral expansions of the schrödinger operator on a closed domain |
| title_sort | uniformly convergence of the spectral expansions of the schrodinger operator on a closed domain |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/30456/4/ICAST_my_and2.pdf |
| work_keys_str_mv | AT ahmedovanvarjona uniformlyconvergenceofthespectralexpansionsoftheschrodingeroperatoronacloseddomain AT jamaludinnuramalina uniformlyconvergenceofthespectralexpansionsoftheschrodingeroperatoronacloseddomain AT rakhimovabdumalik uniformlyconvergenceofthespectralexpansionsoftheschrodingeroperatoronacloseddomain |