Heat kernel transform for nilmanifolds associated to the Heisenberg group

Kroetz, Bernhard and Thangavelu, Sundaram and Xu, Yuan (2008) Heat kernel transform for nilmanifolds associated to the Heisenberg group. In: Revista Matematica IberoAmericana, 24 (1). pp. 243-266.

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Abstract

We study the heat kernel transform on a nilmanifold M of the Heisenberg group. We show that the image of L-2(M) under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.

Item Type:	Journal Article
Publication:	Revista Matematica IberoAmericana
Publisher:	University Autonoma Madrid
Additional Information:	Copyright of this article belongs to University Autonoma Madrid.
Keywords:	Heisenberg group;nilmanifolds;Bergman spaces;heat kernel; Hermite and Laguerre functions.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	13 May 2009 05:34
Last Modified:	19 Sep 2010 04:50
URI:	http://eprints.iisc.ac.in/id/eprint/16123

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