Remarques sur la formule sommatoire de Poisson
Jean Kahane, Pierre-Gilles Lemarié-Rieusset (1994)
Studia Mathematica
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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 " and " and see for which values of a and b the condition is sufficient.