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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Official URL: http://arxiv.org/PS_cache/math/pdf/0607/0607134v2....
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 |
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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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