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
Crawford Science Hall, Bowie State University, Bowie 20715, MD, USA
Received 11 January 1995
Copyright © 1997 Nelson Petulante. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.