Factorization in Denjoy-Carleman classes associated to representations of (R^d,+)

We observe that, in the case when X is a linear space and the maps u 1 , u 2 are linear, Corollary 3.4 extends to the locally convex spaces an im- portant theorem which was proved

It includes the theory of Hilbert-space valued Hardy spaces (Section 2), the Weyl operator calculus (Section 3), representation theory of Ja- cobi and Heisenberg groups,

Nous traitons dans ette partie le as d'une représentation semi-simple

In Section 4, we study the decomposition of tensor products of unitary repre- sentations of SU(2,2) in reproducing kernel Hilbert spaces of holomorphic functions..

Actually the question is just as interesting for arbitrary (Kazhdan) groups G, but it is more natural to restrict to finite groups, because there are infinite Kazhdan groups without

In this section we give an example of a nilpotent element e with two invariant polari- zations p { a» } which are cuspidal parabolic subalgebras, such that the

The modification corresponding to the coreflective class of uniform spaces Z such that the set U(Z) of uniformly continuous real-valued functions is closed under

tial local question is to determine which local unitary representations of SPn(Ku) have the property that the space A(03B4) of matrix coefficients of S.. can be