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Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain

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

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Abstract

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.

Item Type:Article
Keyword:Schrodinger operator; Spectral function; Localization
Faculty or Institute:Institute for Mathematical Research
Faculty of Engineering
Publisher:Institute of Physics Publishing
DOI Number:10.1088/1742-6596/435/1/012014
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/435/1/012014
ID Code:30772
Deposited By: Umikalthom Abdullah
Deposited On:06 Apr 2015 12:59
Last Modified:21 Sep 2015 11:47

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