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 inBoundary value problems Vol. 2011; no. 1; p. 45
Main Authors El-Raheem, Zaki FA, Nasser, AH
Format Journal Article
LanguageEnglish
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
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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