Some deformations of the Segal-Bargmann transform
Bent Ørsted, Aarhus Universitet, Denmark
Abstract
The classical Segal-Bargmann transform has been very
useful for harmonic analysis and mathematical physics. In recent
years several extensions and generalizations have been studied,
for example in connection with compact Lie groups, Riemannian
symmetric spaces, and Coxeter groups. I this lecture we shall
present an additional variation of the Segal-Bargmann transform,
using the three-dimensional simple Lie algebra and connecting
to the theory of the minimal representation of SO(2,n).