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International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 3, Pages 571-580
http://dx.doi.org/10.1155/S0161171298000799

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

1Lehrstuhl A für Mathematik, RWTH Aachen, Aachen D-52056, Germany
2Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

Received 10 July 1996; Revised 13 March 1997

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.