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The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes

In this paper the eigenfunction expansions of the Schrödinger operator with the potential having singularity at one point are considered. The uniform estimations for the spectral function of the Schrödinger operator in closed domain are obtained. The almost everywhere convergence of the eigenfunctio...

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Main Authors: N. A., Jamaludin, Ahmedov, Anvarjon A.
Format: Article
Language:English
English
Published: Universiti Putra Malaysia 2017
Subjects:
Q Science (General)
Online Access:http://umpir.ump.edu.my/id/eprint/18819/1/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes.pdf
http://umpir.ump.edu.my/id/eprint/18819/2/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes%201.pdf
http://umpir.ump.edu.my/id/eprint/18819/
http://einspem.upm.edu.my/journal/fullpaper/vol11sapril/10.%20Nuramalina.pdf
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spelling my.ump.umpir.188192018-05-02T06:37:38Z http://umpir.ump.edu.my/id/eprint/18819/ The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes N. A., Jamaludin Ahmedov, Anvarjon A. Q Science (General) In this paper the eigenfunction expansions of the Schrödinger operator with the potential having singularity at one point are considered. The uniform estimations for the spectral function of the Schrödinger operator in closed domain are obtained. The almost everywhere convergence of the eigenfunction expansions by Riesz means in the classes Lp classes is proven by estimating the maximal operator in L1 and L2 and applying the interpolation theorem for the family of linear operators. Universiti Putra Malaysia 2017 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/18819/1/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/18819/2/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes%201.pdf N. A., Jamaludin and Ahmedov, Anvarjon A. (2017) The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes. Malaysian Journal of Mathematical Sciences, 11 (S2). pp. 119-136. ISSN 18238343 http://einspem.upm.edu.my/journal/fullpaper/vol11sapril/10.%20Nuramalina.pdf
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
English
topic Q Science (General)
spellingShingle Q Science (General)
N. A., Jamaludin
Ahmedov, Anvarjon A.
The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
description In this paper the eigenfunction expansions of the Schrödinger operator with the potential having singularity at one point are considered. The uniform estimations for the spectral function of the Schrödinger operator in closed domain are obtained. The almost everywhere convergence of the eigenfunction expansions by Riesz means in the classes Lp classes is proven by estimating the maximal operator in L1 and L2 and applying the interpolation theorem for the family of linear operators.
format Article
author N. A., Jamaludin
Ahmedov, Anvarjon A.
author_facet N. A., Jamaludin
Ahmedov, Anvarjon A.
author_sort N. A., Jamaludin
title The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
title_short The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
title_full The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
title_fullStr The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
title_full_unstemmed The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes
title_sort almost everywhere convergence of eigenfunction expansions of schrödinger operator in lp classes
publisher Universiti Putra Malaysia
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/18819/1/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes.pdf
http://umpir.ump.edu.my/id/eprint/18819/2/The%20Almost%20Everywhere%20Convergence%20of%20Eigenfunction%20Expansions%20of%20Schr%C3%B6dinger%20Operator%20in%20Lp%20Classes%201.pdf
http://umpir.ump.edu.my/id/eprint/18819/
http://einspem.upm.edu.my/journal/fullpaper/vol11sapril/10.%20Nuramalina.pdf
_version_ 1643668539348877312
score 13.18916

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