Remarques sur la formule sommatoire de Poisson

Jean Kahane; Pierre-Gilles Lemarié-Rieusset

Studia Mathematica (1994)

  • Volume: 109, Issue: 3, page 303-316
  • ISSN: 0039-3223

Abstract

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It is well known that the condition “f ∈ L¹ and f̂ ∈ L¹” is not sufficient to ensure the validity of the Poisson summation formula ∑f(k) = ∑f̂(k). We discuss here a stronger condition " x a f ∈ L p and ξ b f ̂ ∈ L q " and see for which values of a and b the condition is sufficient.

How to cite

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Kahane, Jean, and Lemarié-Rieusset, Pierre-Gilles. "Remarques sur la formule sommatoire de Poisson." Studia Mathematica 109.3 (1994): 303-316. <http://eudml.org/doc/216076>.

@article{Kahane1994,
author = {Kahane, Jean, Lemarié-Rieusset, Pierre-Gilles},
journal = {Studia Mathematica},
keywords = {integrable function; Fourier transform; Poisson summation formula},
language = {fre},
number = {3},
pages = {303-316},
title = {Remarques sur la formule sommatoire de Poisson},
url = {http://eudml.org/doc/216076},
volume = {109},
year = {1994},
}

TY - JOUR
AU - Kahane, Jean
AU - Lemarié-Rieusset, Pierre-Gilles
TI - Remarques sur la formule sommatoire de Poisson
JO - Studia Mathematica
PY - 1994
VL - 109
IS - 3
SP - 303
EP - 316
LA - fre
KW - integrable function; Fourier transform; Poisson summation formula
UR - http://eudml.org/doc/216076
ER -

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