On infinitely differentiable and Gevrey vectors for representations

Abstract

On infinitely differentiable and Gevrey vectors for representations by A.F.M. ter Elst In the present paper we give a condition in order that the set of infinitely differentiable vectors for a representation 11 " in a Banach space is equal to the set of all infinitely differentiable vectors for the restriction of 11 " to a subgroup. Similar results for Gevrey vectors and analytic vectors are proved for unitary representations