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The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. (English)
Result. Math. 59, No. 3-4, 359-400 (2011).
The paper is concerned with the two summation formulae of Euler-Maclaurin and Abel-Plana of numerical analysis, that of Poisson of Fourier analysis, and the approximate sampling formula of signal analysis. The results are brought into connection with four propositions of mathematical analysis for band limited functions, including the Whittaker-Kostelnikov-Shannon sampling theorem.
Reviewer: Cristinel Mortici (Targoviste)
WorldCat.org
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