Heat kernel transform for nilmanifolds associated to the Heisenberg group

Krötz, Bernhard ; Thangavelu, Sundaram ; Xu, Yuan (2008) Heat kernel transform for nilmanifolds associated to the Heisenberg group Revista Matemática Iberoamericana, 24 (1). pp. 243-266. ISSN 0213-2230

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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 L2(M) under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.

Item Type:Article
Source:Copyright of this article belongs to Revista Matemática Iberoamericana.
Keywords:Heisenberg Group; Nilmanifolds; Bergman Spaces; Heat Kernel; Hermite and Laguerre Functions
ID Code:64406
Deposited On:10 Oct 2011 06:03
Last Modified:18 May 2016 12:50

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