A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues

Author:

Annaby Mahmoud H.1,Hassan Hassan A.2

Affiliation:

1. Lehrstuhl A für Mathematik, RWTH Aachen, Aachen D-52056, Germany

2. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Abstract

We use a new version of Kramer's theorem to derive a sampling theorem associated with second order boundary-value problems whose eigenvalues are not necessarily simple.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Difference operators, Green's matrix, sampling theory and applications in signal processing;Journal of Difference Equations and Applications;2018-06-14

2. A perturbed Whittaker–Kotelʼnikov–Shannon sampling theorem;Journal of Mathematical Analysis and Applications;2011-09

3. Sampling in Paley–Wiener spaces associated with fractional integro-differential operators;Journal of Computational and Applied Mathematics;2004-10

4. A sampling theorem for transforms with discontinuous kernels;Applicable Analysis;2004-10

5. Sampling of vector-valued transforms associated with Green's matrix of Dirac systems;Journal of Mathematical Analysis and Applications;2003-08

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