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The heat kernel transform for the Heisenberg group

Bernhard Kroetz·Sundaram Thangavelu·Yuan Xu
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Abstract

The heat kernel transform H_t for the Heisenberg group is studied in detail. The main result shows that the image of H_t is a direct sum of two weighted Bergman spaces whose associated weighted functions are of oscillatory nature, i.e. attain positive and negative values.

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Bernhard Kroetz, Sundaram Thangavelu, Yuan Xu. 2005-02-15. The heat kernel transform for the Heisenberg group. https://arxiv.org/abs/math/0401243

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