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A characterization of Fourier transform by Poisson summation formula |
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| Authors: | Dmitry Faifman |
| Institution: | Tel-Aviv University, 69978 Tel-Aviv, Israel |
| Abstract: | We show that, under certain conditions, the Fourier transform is completely characterized by Poisson's summation formula. Also, we propose a generalized transform which is derived from a Poisson-type summation formula, that we call a Fourier–Poisson transform. |
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