A Cauchy Problem for Elliptic Invariant Differential Operators and Continuity of a generalized Berezin transform
In this note, we generalize the results in our previous paper on the Casimir operator and Berezin transform, by showing the -continuity of a generalized Berezin transform associated with a branching problem for a class of unitary representations defined by invariant elliptic operators; we also show, that under suitable general conditions, this generalized Berezin transform is -continuous for