On the heat kernel of the Rumin complex and Calderón reproducing formula
arXiv:2305.10493
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 Calderón reproducing formula on Rumin forms.
arXiv admin note: text overlap with arXiv:2103.02308