11 citations · 30 across the 19 of their papers we have counts for
4 papers · 1 filter
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…