The heat kernel transform for the Heisenberg group

Details The heat kernel transform for the Heisenberg group The heat kernel transform for the Heisenberg group

2004-01-19

arxiv.org/abs/math/0401243v2

JFA 225 (2) (2005), 301-336

Mathematics

Classical Analysis and ODEs

26 pages, 1 figure.Extended final version. To appear in JFA. We would like to express our sincere gratitude to a referee who r

Scientific paper

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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