On the unreasonable effectiveness of Gutzmer's formula

Thangavelu, Sundaram (2008) On the unreasonable effectiveness of Gutzmer's formula. In: 8th International Conference on Harmonic Analysis and Partial, JUN 16-20, 2008, Madrid, pp. 199-217.

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Abstract

In this article we plan to demonstrate the usefulness of `Gutzmer's formula' in the study of various problems related to the Segal-Bargmann transform. Gutzmer's formula is known in several contexts: compact Lie groups, symmetric spaces of compact and noncompact type, Heisenberg groups and Hermite expansions. We apply Gutzmer's formula to study holomorphic Sobolev spaces, local Peter-Weyl theorems, Paley-Wiener theorems and Poisson semigroups.

Item Type:	Conference Paper
Series.:	Contemporary Mathematics
Publisher:	American Mathematical Society
Additional Information:	Copyright of this article belongs to American Mathematical Society.
Keywords:	Segal-Bargmann transform; symmetric spaces; Heisenberg groups; Gutzmer's formula; heat and Poisson semigroups; holomorphic functions.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	09 Sep 2010 12:13
Last Modified:	19 Sep 2010 06:14
URI:	http://eprints.iisc.ac.in/id/eprint/31339

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