7 citations · 7 across the 8 of their papers we have counts for
8 papers
Function spaces associated with Schroedinger operators: the Poeschl-Teller potential
Gestur Olafsson, Shijun Zheng
We address the function space theory associated with the Schroedinger operator H. The discussion is featured with the Poeschl-Teller potential in quantum physics. Using biorthogona…
Differential Recursion Relations for Laguerre Functions on Symmetric Cones
Michael Aristidou, Mark Davidson, Gestur Olafsson
Let be a symmetric cone and the corresponding simple Euclidean Jordan algebra. In \cite{ado,do,do04,doz2} we considered the family of generalized Laguerre functions on …
The Segal-Bargmann transform for the heat equation associated with root systems
Gestur Olafsson, Henrik Schlichtkrull
We study the heat equation associated to a multiplicity function on a root system, where the corresponding Laplace operator has been defined by Heckman and Opdam. In particular, we…
The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities
Thomas Branson, Gestur Olafsson, Angela Pasquale
This note is a continuation of the previous paper math.AP/0411383 by the same authors. Its purpose is to extend the results of math.AP/0411383 to the context of root systems with e…
Laguerre Functions on Symmetric Cones and recursion relations in the Real Case
Michael Aristidou, Mark Davidson, Gestur 'Olafsson
In this article we derive differential recursion relations for the Laguerre functions on the cone C of positive definite real matrices. The highest weight representations of the gr…
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.