Heat kernel transform on nilmanifolds associated to H-type groups
Functional Analysis
2010-06-15 v1 Analysis of PDEs
Abstract
We study the heat kernel transform on a nilmanifold M associated to a H-type group. Using a reduction technique we reduce the problem to the case of Heisenberg groups. The image of under the heat kernel transform is shown to be a direct sum of weighted Bergman spaces.
Cite
@article{arxiv.1006.2531,
title = {Heat kernel transform on nilmanifolds associated to H-type groups},
author = {A. Dasgupta and S. Thangavelu},
journal= {arXiv preprint arXiv:1006.2531},
year = {2010}
}
Comments
15 pages