Normes de Sobolev et convoluteurs bornés sur L
Date issued
1991
In
Annales De L Institut Fourier
Vol
4
No
41
From page
797
To page
822
Subjects
LOCALLY COMPACT GROUP LENGTH FUNCTION POSITIVE DEFINITE FUNCTION FOURIER ALGEBRA REDUCED C-ASTERISK-ALGEBRA C-STAR-ALGEBRAS TENSOR-PRODUCTS CSTAR-ALGEBRA MULTIPLIERS SUBGROUPS PROPERTY
Abstract
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.
Publication type
journal article