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

In this work uniformly convergent problems of the eigenfunction expansions of the SchrÄodinger operator ¡¢+q(y1; y2) with singular potential from W1 2 (­) are investigated. Using the estimation of the spectral function of the SchrÄodinger operator on closed domain and mean value formula for the...

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Bibliographic Details
Main Authors: Ahmedov, Anvarjon A., Jamaludin, Nur Amalina, Rakhimov, Abdumalik
Format: Article
Language:en
Published: Institute of Physics Publishing 2013
Subjects:
Online Access:http://irep.iium.edu.my/30456/4/ICAST_my_and2.pdf
http://irep.iium.edu.my/30456/
http://iopscience.iop.org/1742-6596/435/1/012014
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Summary:In this work uniformly convergent problems of the eigenfunction expansions of the SchrÄodinger operator ¡¢+q(y1; y2) with singular potential from W1 2 (­) are investigated. Using the estimation of the spectral function of the SchrÄodinger 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.