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

Zaki FA El-Raheem1* and AH Nasser2

Author Affiliations

1 Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt

2 Faculty of Industrial Education, Helwan University, Cairo, Egypt

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Boundary Value Problems 2011, 2011:45  doi:10.1186/1687-2770-2011-45

Published: 23 November 2011

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.

(2000) Mathematics Subject Classification

34B05; 43B24; 43L10; 47E05

Keywords:
Eigenfunctions; Asymptotic formula; Contour integration; Equiconvergence