Domains of holomorphy for irreducible admissible uniformly bounded representations of simple Lie groupsReport as inadecuate




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1 Analyse IECL - Institut Élie Cartan de Lorraine 2 Mathematisches Institut der Universität Paderborn

Abstract : In this note, we address a question asked by Kr\-otz on the classification of domains of holomorphy of irreducible admissible Banach representations for simple real Lie groups. When $G$ is not of Hermitian type, and the representation is either irreducible uniformly bounded Hilbert or irreducible admissible isometric on a certain class of Banach spaces, we give a full answer. When the group $G$ is Hermitian, our results are only partial.





Author: Gang Liu - Aprameyan Parthasarathy -

Source: https://hal.archives-ouvertes.fr/



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