The equiconvergence of the eigenfunction expansion for a singular version of one-dimensional Schrodinger operator with explosive factor

El-Raheem, Zaki F. A.; Nasser, A. H.

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The equiconvergence of the eigenfunction expansion for a singular version of one-dimensional Schrodinger operator with explosive factor

El-Raheem, Zaki F. A.; Nasser, A. H.

Full Text link: https://link.springer.com/article/10.1186/1687-2770-2011-45

Date issued: 2011

Doi: https://doi.org/10.1186/1687-2770-2011-45

Publisher: SPRINGER INTERNATIONAL PUBLISHING AG

Series Info: BOUNDARY VALUE PROBLEMS;Pages: 1-11

Type: Article

Keywords: University of Eigenfunctions , Asymptotic formula , Contour integration , Equiconvergence

Abstract:

This paper is devoted to prove the equiconvergence formula of the eigenfunction expansion for some version of Schrodinger operator with explosive factor. The analysis relies on asymptotic calculation and complex integration. The paper is of great interest for the community working in the area.