19 citations · 34 across the 10 of their papers we have counts for
10 papers
Discrete series representations with non-tempered embedding
Bernhard Krötz, Job J. Kuit, Henrik Schlichtkrull
We give an example of a semisimple symmetric space and an irreducible representation of which has multiplicity 1 in and multiplicity 2 in .
Holomorphic Extension of Eigenfunctions
Bernhard Kroetz, Henrik Schlichtkrull
Let X be a Riemannian symmetric space of non-compact type. We prove a theorem of holomorphic extension for eigenfunctions of the Laplace-Beltrami operator on X, by techniques from…
Corner view on the crown domain
Bernhard Kroetz
In this paper I raise a question on the structure of the boundary of the crown domain.
Domains of holomorphy for irreducible unitary representations of simple Lie groups
Bernhard Kroetz
We classify the domains of holomorphy of all Harish-Chandra modules of irreducible unitary representations of simple non-compact Lie groups.
Analysis on the crown domain
Bernhard Kroetz, Eric M. Opdam
In this paper one finds:1) A simple combinatorical description of the distinguished boundary of the crown domain in terms of the affine Weyl group; 2) Optimal upper and lower bound…
Holomorphic H-spherical distribution vectors in principal series representations
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
Let G/H be a semisimple symmetric space. The main tool to embed a principal series representation of G into L^2(G/H) are the H-invariant distribution vectors. If G/H is a non-compa…