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 Calderon reproducing formula on Rumin forms.
On the heat kernel of the Rumin complex and Calderón reproducing formula
PAOLO CIATTI
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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 Calderon reproducing formula on Rumin forms.File in questo prodotto:
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