On the heat kernel of the Rumin complex and Calderón reproducing formula-Reference-Cited by-同舟云学术

On the heat kernel of the Rumin complex and Calderón reproducing formula

Published:2024-01-01 Issue:1 Volume:12 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Ciatti Paolo¹,Franchi Bruno²,Sire Yannick³

Affiliation:

1. Dipartimento di Matematica “Tullio Levi-Civita”, University of Padova , Via Trieste, 63 , 35131 Padova , Italy

2. Dipartimento di Matematica, Alma Mater Studiorum University of Bologna, Piazza di Porta S. Donato 5 , 40126 Bologna , Italy

3. Johns Hopkins University, Krieger Hall, 3400 N. Charles St. , Baltimore , MD, 21218 , USA

Abstract

Abstract We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s 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’s forms.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/agms-2024-0002/pdf

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