Mathematical Notes

, Volume 73, Issue 1, pp 97-102

First online:

A Discrete Analog of the Poisson Summation Formula

  • A. V. UstinovAffiliated withM. V. Lomonosov Moscow State University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


The first part of this paper is concerned with the proof of a discrete analog of the Poisson summation formula. In the second part, we describe an elementary proof of a functional equation for the function \(\theta (t)\), based on the summation formula derived in the paper.

Poisson summation formula Gauss sum uniform grid Fourier series