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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 81-92
doi:10.1155/S0161171297000124

A strong version of Poisson summation

Nelson Petulante

Crawford Science Hall, Bowie State University, Bowie 20715, MD, USA

Abstract

We establish a generalized version of the classical Poisson summation formula. This formula incorporates a special feature called "compression", whereby, at the same time that the formula equates a series to its Fourier dual, the compressive feature serves to enable both sides of the equation to converge.