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This paper presents an integral representation for the derivation of sampling expansions. The representation uses the theory of self-adjoint differential equations. Different methods of evaluating the resulting triple integral have different physical significances and yield the commonly used approaches to the derivation of sampling expansions. The first- and second-order differential operators are discussed, and the physical interpretation of the first-order case is emphasized.
Haddad et al. (Sat,) studied this question.
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