|
|||||
|
|
On sampling theory associated with the resolvents of singular Sturm-Liouville problems |
|
| Authors: | M. H. Annaby |
| Affiliation: | 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 |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |