UMP Institutional Repository

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

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

[img] PDF
The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes.pdf - Published Version
Restricted to Repository staff only

Download (511kB) | Request a copy
[img]
Preview
PDF
The Almost Everywhere Convergence of Eigenfunction Expansions of Schrödinger Operator in Lp Classes 1.pdf - Published Version

Download (228kB) | Preview

Abstract

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.

Item Type: Article
Additional Information: Indexes in Scopus
Uncontrolled Keywords: Schrödinger operator; Almost everywhere convergence and eigenfunction expansions
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs. Neng Sury Sulaiman
Date Deposited: 17 Nov 2017 01:34
Last Modified: 02 May 2018 06:37
URI: http://umpir.ump.edu.my/id/eprint/18819
Download Statistic: View Download Statistics

Actions (login required)

View Item View Item