Some deformations of the Segal-Bargmann transform
Bent Ørsted, Aarhus Universitet, Denmark
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).