The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis (Q545501)
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scientific article; zbMATH DE number 5911453
| Language | Label | Description | Also known as |
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| English | The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis |
scientific article; zbMATH DE number 5911453 |
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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)
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22 June 2011
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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.
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Euler-Maclaurin summation formula
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Abel-Plana summation formula
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Poisson summation formula
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Whittaker-Kostelnikov-Shannon sampling theorem
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approximate sampling formula
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band limited signals
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quadrature formulae
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signal analysis
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