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math.AP2005
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…
math.AP2005
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…