Krotz, Bernhard ; Thangavelu, Sundaram ; Xu, Yuan (2005) The heat kernel transform for the Heisenberg group Journal of Functional Analysis, 225 (2). pp. 301-336. ISSN 0022-1236
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jfa.2005.03.019
Abstract
The heat kernel transform Ht is studied for the Heisenberg group in detail. The main result shows that the image of Ht is a direct sum of two weighted Bergman spaces, in contrast to the classical case of Rn and compact symmetric spaces, and the weight functions are found to be (surprisingly) not non-negative.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Heat Kernal Transform; Heisenberg Group |
| ID Code: | 53570 |
| Deposited On: | 09 Aug 2011 11:40 |
| Last Modified: | 18 May 2016 06:39 |
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