A characterization of Fourier transform by Poisson summation formula

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)407-410
Number of pages4
JournalComptes Rendus Mathematique
Volume348
Issue number7-8
DOIs
StatePublished - Apr 2010

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