7 citations · 7 across the 8 of their papers we have counts for
5 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…
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…
The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
Thomas Branson, Gestur Olafsson, Angela Pasquale
We prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small suppor…
Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities
G. Olafsson, A. Pasquale
Let W be a finite Coxeter group acting linearly on . In this article we study support properties of W-invariant partial differential operator D on with real analytic co…