On infinitely differentiable and Gevrey vectors for representation

ter Elst, A. F. M.

doi:10.1090/S0002-9939-1991-1045134-0

On infinitely differentiable and Gevrey vectors for representation
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by A. F. M. ter Elst

Proc. Amer. Math. Soc. 112 (1991), 795-802

DOI: https://doi.org/10.1090/S0002-9939-1991-1045134-0

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Abstract:

In the present paper we give a condition in order that the set of infinitely differentiable vectors for a representation $\pi$ in a Banach space be equal to the set of all infinitely differentiable vectors for the restriction of $\pi$ to a subgroup. Similar results for Gevrey vectors and analytic vectors are proved for unitary representations.

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