11 citations · 17 across the 8 of their papers we have counts for
9 papers · 1 filter
Holomorphic extensions of representations: (II) geometry and harmonic analysis
Bernhard Kroetz, Robert J. Stanton
We continue our discussion from part I.
Horospherical model for holomorphic discrete series and horospherical Cauchy transform
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
We define a complex horospherical transform for affine symmetric spaces of Hermitian type and show that it has no kernel on the holomorphic discrete series.
A convexity property for real orbits in complexified Riemannian symmetric spaces
Bernhard Kroetz
A convexity theorem for certain G-orbits in a complexified Riemannian symmetric space G_C/K_C is proved. Applications to analytically continued spherical functions will be given.
Holomorphic extension of representations: (I) automorphic functions
Bernhard Kroetz, Robert J. Stanton
Let G be a connected, real, semisimple Lie group contained in its complexification G_C, and let K be a maximal compact subgroup of G. We construct a K_C-G double coset domain in G_…
Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
Simon Gindikin, Bernhard Kroetz
In this paper we define a distinguished boundary for the complex crowns $Ξ\subeq G_\C /K_\C$ of non-compact Riemannian symmetric spaces . The basic result is that affine symme…
Invariant Stein domains in Stein symmetric spaces and a non-linear complex convexity theorem
Simon Gindikin, Bernhard Kroetz
We prove a complex version of Kostant's non-linear convexity theorem. Applications to the construction of G-invariant Grauert tubes of non-compact Riemannian symmetric G/K spaces a…