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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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Main Authors: Ahmedov, Anvarjon A., Jamaludin, Nur Amalina, Rakhimov, Abdumalik
Format: Article
Language:English
Published: Institute of Physics Publishing 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30772/1/Uniformly%20convergence%20of%20the%20spectral%20expansions%20of%20the%20Schrodinger%20operator%20on%20a%20closed%20domain.pdf
http://psasir.upm.edu.my/id/eprint/30772/
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Ahmedov, Anvarjon A.
Jamaludin, Nur Amalina
Rakhimov, Abdumalik
spellingShingle Ahmedov, Anvarjon A.
Jamaludin, Nur Amalina
Rakhimov, Abdumalik
Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain
author_facet Ahmedov, Anvarjon A.
Jamaludin, Nur Amalina
Rakhimov, Abdumalik
author_sort Ahmedov, Anvarjon A.
title 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_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_sort uniformly convergence of the spectral expansions of the schrodinger operator on a closed domain
publisher Institute of Physics Publishing
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30772/1/Uniformly%20convergence%20of%20the%20spectral%20expansions%20of%20the%20Schrodinger%20operator%20on%20a%20closed%20domain.pdf
http://psasir.upm.edu.my/id/eprint/30772/
_version_ 1643830159264972800
score 13.211869

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