Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups

2010/01/13 by Sen, Suparna
#22E30 #22E45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/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.

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