Mathematical Notes

, Volume 73, Issue 1–2, pp 97–102 | Cite as

A Discrete Analog of the Poisson Summation Formula

  • A. V. Ustinov
Article
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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 formula Gauss sum uniform grid Fourier series 

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REFERENCES

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    E. Titchmarsh, Introduction to the Theory of Fourier Integrals, Second edition, Oxford Univ. Press, Oxford, 1948.Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

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

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