Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups
arXiv:1001.2119
Abstract
We study the Segal-Bargmann transform on a motion group Rn n K; where K is a compact subgroup of SO(n): A characterization of the Poisson integrals associated to the Laplacian on Rn n K is given. We also establish a Paley-Wiener type theorem using the complexified representations.
24 pages