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

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

Mahmoud H. Annaby1 and Hassan A. Hassan2

1Lehrstuhl A für Mathematik, RWTH Aachen, Aachen D-52056, Germany
2Department 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.