On sampling theory associated with the resolvents of singular Sturm-Liouville problems
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Abstract:
This paper is concerned with the sampling theory associated with resolvents of eigenvalue problems. We introduce sampling representations for integral transforms whose kernels are Green’s functions of singular Sturm-Liouville problems provided that the singular points are in the limit-circle situation, extending the results obtained in the regular problems.References
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Additional Information
- M. H. Annaby
- Affiliation: Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
- Address at time of publication: Department of Mathematics, Arizona State University, P.O. Box 871804, Tempe, Arizona 85287-1804
- Email: mnaby@math-sci.cairo.eun.eg, annaby@math.la.asu.edu
- Received by editor(s): November 15, 2000
- Received by editor(s) in revised form: January 18, 2002
- Published electronically: October 2, 2002
- Communicated by: Carmen C. Chicone
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1803-1812
- MSC (2000): Primary 41A05, 34B05, 94A20
- DOI: https://doi.org/10.1090/S0002-9939-02-06727-8
- MathSciNet review: 1955268