Annaby, Mahmoud H.; Hassan, Hassan A. A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues. (English) Zbl 0904.34019 Int. J. Math. Math. Sci. 21, No. 3, 571-580 (1998). Summary: The authors 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. Cited in 6 Documents MSC: 34B24 Sturm-Liouville theory 94A24 Coding theorems (Shannon theory) 34A05 Explicit solutions, first integrals of ordinary differential equations 34B27 Green’s functions for ordinary differential equations Keywords:Kramer’s theorem; sampling theorem; second-order boundary value problems; eigenvalues PDFBibTeX XMLCite \textit{M. H. Annaby} and \textit{H. A. Hassan}, Int. J. Math. Math. Sci. 21, No. 3, 571--580 (1998; Zbl 0904.34019) Full Text: DOI EuDML