Mathematical Notes

, Volume 73, Issue 1, pp 97–102

A Discrete Analog of the Poisson Summation Formula

  • A. V. Ustinov
Article

DOI: 10.1023/A:1022178118555

Cite this article as:
Ustinov, A.V. Mathematical Notes (2003) 73: 97. doi:10.1023/A:1022178118555
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Abstract

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 formulaGauss sumuniform gridFourier series

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • A. V. Ustinov
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityRussia