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

Sen, Suparna (2010) Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups. In: Publications of the Research Institute for Mathematical Sciences - Series A, 46 (3). pp. 719-740.

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Abstract

We study the Segal-Bargmann transform on a motion group R-n v K, where K is a compact subgroup of SO(n) A characterization of the Poisson integrals associated to the Laplacian on R-n x K is given We also establish a Paley-Wiener type theorem using complexified representations

Item Type:	Journal Article
Publication:	Publications of the Research Institute for Mathematical Sciences - Series A
Publisher:	EMS Publishing House
Additional Information:	Copyright of this article belongs to Kyoto Univ.
Keywords:	Segal-Bargmann transform; Poisson integrals; Paley-Wiener theorems
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Dec 2010 07:17
Last Modified:	21 Dec 2010 10:21
URI:	http://eprints.iisc.ac.in/id/eprint/34548

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