On sampling theory associated with the resolvents of singular Sturm-Liouville problems

Author:

Annaby M.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

1. On nonlinear integrodifferential equations with deviating arguments;Balachandran, K.;Tamkang J. Math.,1995

2. On the use of Green’s function in sampling theory;Annaby, M. H.;J. Integral Equations Appl.,1998

3. Sampling expansions associated with Kamke problems;Annaby, M. H.;Math. Z.,2000

4. M.H. Annaby and P.L. Butzer, On sampling associated with singular Sturm-Liouville eigenvalue problems: the limit-circle case, to appear.

5. P.L. Butzer and G. Nasri-Roudsari, Kramer’s sampling theorem in signal analysis and its role in mathematics. In: Image Processing, Mathematical Methods and Applications, The Institute of Mathematics and its Applications, New series, No 61, Clarendon Press, Oxford 1997, 49–95.

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