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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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Main Authors: Jamaludin, Nur Amalina, Ahatjonovich, Anvarjon Ahmedov
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access: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
http://psasir.upm.edu.my/id/eprint/57413/
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spelling my.upm.eprints.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
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, 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.
format Conference or Workshop Item
author Jamaludin, Nur Amalina
Ahatjonovich, Anvarjon Ahmedov
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
author_facet Jamaludin, Nur Amalina
Ahatjonovich, Anvarjon Ahmedov
author_sort Jamaludin, Nur Amalina
title 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_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_sort conditions for uniformly convergence of expansions of continuous functions from nikolskii classes in eigenfunction expansions of the schrödinger operator on closed domain
publisher AIP Publishing LLC
publishDate 2014
url 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
http://psasir.upm.edu.my/id/eprint/57413/
_version_ 1643836480060129280
score 13.211869

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