4 papers
The c-function for non-compactly causal symmetric spaces and its relations to harmonic analysis and representation theory
Bernhard Kroetz, Gestur Olafsson
We give an overview on the c-function of a non-compactly causal symmetric space G/H and explain its interplay with harmonic analysis and representation theory.
A Convexity property for the SO(2,C)-double coset decomposition of SL(2,C) and applications to spherical functions
Bernhard Kroetz, Michael Otto
We make a fine study of the SO(2,C)-double coset decomposition in SL(2,C) and give a full description of the intersection of the various cells with the complex crown Xi of SL(2,R)/…
Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
Let be a semisimple symmetric space. Then the space can be decomposed into a finite sum of series representations induced from parabolic subgroups of . The most…
The c-function for non-compactly causal symmetric spaces
Bernhard Kroetz, Gestur Olafsson
In this paper we prove the product formula for the c-function of non-compactly causal symmetric spaces.