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Normes de Sobolev et convoluteurs bornés sur L
Date de parution
1991
In
Annales De L Institut Fourier
Vol.
4
No
41
De la page
797
A la page
822
Mots-clés
Résumé
A locally compact group G equipped with a length-function L has property (RD) with respect to L if any rapidly decreasing function on G defines a bounded convolver on L2(G). We give a fairly general sufficient condition for the pair (G,L) to have property (RD). For such a pair, we characterize positive definite functions on G that are weakly associated to the left regular representation and. in thc discrete case, we deal with approximation properties of the Fourier algebra of G.
Identifiants
Type de publication
journal article
