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/ http://umpir.ump.edu.my/id/eprint/18819/ 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

id	ump-18819
recordtype	eprints
spelling	ump-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
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/ http://umpir.ump.edu.my/id/eprint/18819/ 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
first_indexed	2023-09-18T22:26:51Z
last_indexed	2023-09-18T22:26:51Z
_version_	1777416023332356096

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

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