Analytische Vektoren von Faltungshalbgruppen II. Funktionenräume,auf lokalkompakten Gruppen |
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| Authors: | T Drisch W Hazod |
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| Institution: | (1) Abteilung Mathematik, Universität Dortmund, Postfach 500500, D-4600 Dortmund 50, Bundesrepublik Deutschland |
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| Abstract: | In this paper the investigations of 3], 4], 5] are continued. LetG be a locally compact group. First we show that in general there is no rich subspace of functions of the Bruhat-spaceD (G), whose, elements are analytical vectors for any convolution semigroup of probability measures. On the other hand we are able to construct dense subspaces ofC
0 (G) of analytical vectors, ifG is a Moore-group or a symmetric Riemannian space. We study properties of these subspaces and their relations to the structure, of the groupG.
Herrn Prof. Dr. L. Schmetterer zum 60. Geburtstag gewidmet |
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