11 citations · 30 across the 19 of their papers we have counts for
8 papers · 1 filter
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.
Paley-Wiener theorems for the -spherical transform: an overview
G. Olafsson, A. Pasquale
The aim of this article is to give an overview of several types of Paley-Wiener theorems occuring in harmonic analysis related to symmetric spaces. This will serve as a motivation…
The Generalized Segal-Bargmann transform and Special Functions
Mark Davidson, Gestur Olafsson
Analysis of function spaces and special functions are closely related to the representation theory of Lie groups. We explain here the connection between the Laguerre functions, the…
Differential Recursion Relations for Laguerre Functions on Hermitian Matrices
Mark Davidson, Gestur Olafsson
In our previous papers \cite{doz1,doz2} we studied Laguerre functions and polynomials on symmetric cones . The Laguerre functions , $\mathbf{n}\in\mathb…
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.
Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials
Mark Davidson, Gestur Olafsson, Genkai Zhang
Let be a complex bounded symmetric domain of tube type in a complex Jordan algebra and let be its real form…