The classical and approximate sampling theorems and their equivalence for entire functions of exponential type

Author:

Butzer P.L.,Schmeisser G.,Stens R.L.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference31 articles.

1. Entire Functions;Boas,1954

2. On Bernstein’s inequality and the norm of Hermitian operators;Browder;Amer. Math. Monthly,1971

3. P.L. Butzer, M. Dodson, P.J.S.G. Ferreira, J.R. Higgins, G. Schmeisser, R.L. Stens, The generalized Parseval decomposition formula, the approximate sampling theorem, the approximate reproducing Kernel formula, Poisson’s summation formula and Riemann’s zeta function; their interconnections for non-bandlimited functions, submitted for publication.

4. The sampling theorem, Poisson’s summation formula, general Parseval formula, reproducing Kernel formula and the Paley–Wiener theorem for bandlimited signals—their interconnections;Butzer;Appl. Anal.,2011

5. The summation formulae of Euler–Maclaurin, Abel–Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis;Butzer;Results Math.,2011

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