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

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...

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Bibliographic Details
Published in:	Boundary value problems Vol. 2011; no. 1; p. 45
Main Authors:	El-Raheem, Zaki FA, Nasser, AH
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 23-11-2011 BioMed Central Ltd
Subjects:	Analysis Approximations and Expansions Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Eigenfunctions Equiconvergence Contour integration Asymptotic formula
Online Access:	Get full text
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Summary:	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
ISSN:	1687-2770 1687-2770
DOI:	10.1186/1687-2770-2011-45