On the heat kernel of the Rumin complex and Calder\'on reproducing formula
Analysis of PDEs
2023-05-19 v1 Differential Geometry
Abstract
We derive several properties of the heat equation with the Hodge operator associated with the Rumin complex on Heisenberg groups and prove several properties of the fundamental solution. As an application, we use the heat kernel for Rumin's differential forms to construct a Calder\'on reproducing formula on Rumin forms.
Keywords
Cite
@article{arxiv.2305.10493,
title = {On the heat kernel of the Rumin complex and Calder\'on reproducing formula},
author = {Paolo Ciatti and Bruno Franchi and Yannick Sire},
journal= {arXiv preprint arXiv:2305.10493},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2103.02308