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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