Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain
In this work, spectral expansions of the Schrödinger operator −Δ+q(y1,y2) with the singular potential from W12(Ω) are investigated. Using the asymptotical estimation of spectral function of Schrödinger operator on closed domain uniformly convergence of eigenfunction expansions of continuous function...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57413/ http://psasir.upm.edu.my/id/eprint/57413/1/Conditions%20for%20uniformly%20convergence%20of%20expansions%20of%20continuous%20functions%20from%20Nikolskii%20classes%20in%20eigenfunction%20expansions%20of%20the%20Schr%C3%B6dinger%20operator%20on%20closed%20domain.pdf |
| _version_ | 1848853359278161920 |
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| author | Jamaludin, Nur Amalina Ahatjonovich, Anvarjon Ahmedov |
| author_facet | Jamaludin, Nur Amalina Ahatjonovich, Anvarjon Ahmedov |
| author_sort | Jamaludin, Nur Amalina |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this work, spectral expansions of the Schrödinger operator −Δ+q(y1,y2) with the singular potential from W12(Ω) are investigated. Using the asymptotical estimation of spectral function of Schrödinger operator on closed domain uniformly convergence of eigenfunction expansions of continuous functions from Nikolskii classes is proved. Properties of the continuous functions from Nikolskii classes are used. |
| first_indexed | 2025-11-15T10:52:43Z |
| format | Conference or Workshop Item |
| id | upm-57413 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:43Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-574132017-09-27T09:41:26Z http://psasir.upm.edu.my/id/eprint/57413/ Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain Jamaludin, Nur Amalina Ahatjonovich, Anvarjon Ahmedov In this work, spectral expansions of the Schrödinger operator −Δ+q(y1,y2) with the singular potential from W12(Ω) are investigated. Using the asymptotical estimation of spectral function of Schrödinger operator on closed domain uniformly convergence of eigenfunction expansions of continuous functions from Nikolskii classes is proved. Properties of the continuous functions from Nikolskii classes are used. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57413/1/Conditions%20for%20uniformly%20convergence%20of%20expansions%20of%20continuous%20functions%20from%20Nikolskii%20classes%20in%20eigenfunction%20expansions%20of%20the%20Schr%C3%B6dinger%20operator%20on%20closed%20domain.pdf Jamaludin, Nur Amalina and Ahatjonovich, Anvarjon Ahmedov (2014) Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain. In: 2nd International Conference on Analysis and Applied Mathematics (ICAAM 2014), 11-13 Sept. 2014, Shymkent, Kazakhstan. (pp. 43-45). 10.1063/1.4893801 |
| spellingShingle | Jamaludin, Nur Amalina Ahatjonovich, Anvarjon Ahmedov Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title_full | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title_fullStr | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title_full_unstemmed | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title_short | Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain |
| title_sort | conditions for uniformly convergence of expansions of continuous functions from nikolskii classes in eigenfunction expansions of the schrödinger operator on closed domain |
| url | http://psasir.upm.edu.my/id/eprint/57413/ http://psasir.upm.edu.my/id/eprint/57413/ http://psasir.upm.edu.my/id/eprint/57413/1/Conditions%20for%20uniformly%20convergence%20of%20expansions%20of%20continuous%20functions%20from%20Nikolskii%20classes%20in%20eigenfunction%20expansions%20of%20the%20Schr%C3%B6dinger%20operator%20on%20closed%20domain.pdf |