The heat kernel transform for the Heisenberg group
Classical Analysis and ODEs
2007-05-23 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.math/0401243,
title = {The heat kernel transform for the Heisenberg group},
author = {Bernhard Kroetz and Sundaram Thangavelu and Yuan Xu},
journal= {arXiv preprint arXiv:math/0401243},
year = {2007}
}
Comments
26 pages, 1 figure.Extended final version. To appear in JFA. We would like to express our sincere gratitude to a referee who read the manuscript very carefully and pointed out several inaccuracies, gaps and mistakes