The heat kernel transform for the Heisenberg group

By B. Kroetz, S. Thangavelu, Yuan Xu. 2004

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Abstract The heat kernel transform H t is studied for the Heisenberg group in detail. The main result shows that the image of H t is a direct sum of two weighted Bergman spaces, in contrast to the classical case of R n and compact symmetric spaces, and the weight functions are found to be (surprisingly) not non-negative.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0ad06898bd6ebd474728f54608dfd3cfbecdf014