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arXiv · 1001.2119

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

Suparna Sen
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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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BibTeXRIS

Suparna Sen. 2010-01-13. Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups. https://arxiv.org/abs/1001.2119

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