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On sampling theory associated with the resolvents of singular Sturm-Liouville problems |
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| Authors: | M H Annaby |
| Institution: | Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt |
| 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. |
| Keywords: | Sampling theory singular Sturm-Liouville problems Green's function resolvent kernels Legendre and Bessel functions |
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