11 citations · 38 across the 20 of their papers we have counts for
20 papers
Analytic representation theory of Lie groups: General theory and analytic globalizations of Harish--Chandra modules
Heiko Gimperlein, Bernhard Kroetz, Henrik Schlichtkrull
In this article a general framework for studying analytic representations of a real Lie group G is introduced. Fundamental topological properties of the representations are analyze…
The Bochner measure and holomorphic extension of elementary spherical functions
Bernhard Kroetz, Ray Kunze, Robert J. Stanton
In this paper we determine the Bochner measure for spherical functions on a semi-simple Lie group of rank one.
Crown theory for the upper halfplane
Bernhard Kroetz
I exemplify part of my recent work on the upper halfplane.
A novel characterization of the Iwasawa decomposition of a simple Lie group
Bernhard Kroetz
It is about the uniqueness of the Iwasawa decomposition.
Radon transform on real symmetric varieties: kernel and cokernel
Bernhard Kroetz
We define and study the (minimal) Radon transform on a real symmetric variety.
Heat kernel transform for nilmanifolds associated to the Heisenberg group
B. Kroetz, S. Thangavelu, Y. Xu
We study the heat kernel transform on a nilmanifold of the Heisenberg group. We show that the image of under this transform is a direct sum of weighted Bergman spa…