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The heat kernel transform for the Heisenberg group |
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| Authors: | Bernhard Krö tz,Sundaram Thangavelu |
| Affiliation: | a Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222, USA b Stat-Math Division, Indian Statistical Institute 8th Mile, Mysore Road, Bangalore-560 059, India |
| 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. |
| Keywords: | Heat kernal transform Heisenberg group |
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