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A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues. (English) Zbl 0904.34019

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.

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
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