A Review on Kramer Sampling Theorem
摘要
It is a well-known fact that the classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas having an application to derive sampling formulas associated with differential or difference problems. The aim in this chapter is to provide, in a unified way, some generalizations of the Kramer result corresponding to various different settings. All these generalizations fit the sampling pattern followed in this book. Besides, these Kramer’s generalizations are profusely illustrated with a significant number of examples showing, in particular, how sampling theory is transversal in the field of mathematics.