Room 318
Domains of holomorphy for admissible Banach representations
Aprameyan Parthasarathy
University of Paderborn
We report on recent work with Gang Liu ( Uni.Metz, France) where we address a question posed by Krötz in 2008 on the classification of domains of holomorphy of irreducible admissible Banach representations for
connected non-compact simple real Lie groups G. When G is not of Hermitian type, we answer the question affirmatively and give a complete description of the domains of holomorphy for an irreducible admissible
uniformly bounded representation on a certain class of Banach spaces (which includes all Hilbert spaces as well as L^p-spaces).
Done