Remarques sur la formule sommatoire de Poisson
Kahane, Jean ; Lemarié-Rieusset, Pierre-Gilles
Studia Mathematica, Tome 108 (1994), p. 303-316 / Harvested from The Polish Digital Mathematics Library
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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 "xaf∈Lp and ξbf̂∈Lq" and see for which values of a and b the condition is sufficient.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216076 
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     title = {Remarques sur la formule sommatoire de Poisson},
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     volume = {108},
     year = {1994},
     pages = {303-316},
     zbl = {0820.42004},
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Kahane, Jean; Lemarié-Rieusset, Pierre-Gilles. Remarques sur la formule sommatoire de Poisson. Studia Mathematica, Tome 108 (1994) pp. 303-316. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv109i3p303bwm/

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