Heat kernel transform for nilmanifolds associated to the Heisenberg group
Functional Analysis
2008-07-15 v2
Abstract
We study the heat kernel transform on a nilmanifold of the Heisenberg group. We show that the image of under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.
Cite
@article{arxiv.math/0607134,
title = {Heat kernel transform for nilmanifolds associated to the Heisenberg group},
author = {B. Kroetz and S. Thangavelu and Y. Xu},
journal= {arXiv preprint arXiv:math/0607134},
year = {2008}
}
Comments
Revised version; to appear in Revista Mathematica Iberoamericana, 28 p