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

Mathematics – Functional Analysis

Scientific paper

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24 pages

Scientific paper

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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