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A characterization of Fourier transform by Poisson summation formula - MaRDI portal

A characterization of Fourier transform by Poisson summation formula (Q964433)

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scientific article; zbMATH DE number 5693372
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A characterization of Fourier transform by Poisson summation formula
scientific article; zbMATH DE number 5693372

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    A characterization of Fourier transform by Poisson summation formula (English)
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    15 April 2010
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    The author proves that for a certain class of functions, the Poisson summation formula completely determines its Fourier transform. Also, a generalized transform which is derived from a Poisson-type summation formula is proposed and he calls a Fourier - Poisson transform.
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    Fourier transform
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    Poisson summation formula
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