Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups
Functional Analysis
2010-01-14 v1
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.
Cite
@article{arxiv.1001.2119,
title = {Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups},
author = {Suparna Sen},
journal= {arXiv preprint arXiv:1001.2119},
year = {2010}
}
Comments
24 pages