A characterization of Fourier transform by Poisson summation formula

作者：Faifman Dmitry^*

来源：Comptes Rendus Mathematique, 2010, 348(7-8): 407-410.

DOI：10.1016/j.crma.2010.01.023

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.

• 出版日期2010-4