关于鲁明复合体的热核和卡尔德龙再现公式

Pub Date : 2024-05-28 DOI:10.1515/agms-2024-0002

Paolo Ciatti, Bruno Franchi, Yannick Sire

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引用次数: 0

摘要

我们推导了与海森堡群上鲁明复数相关的霍奇算子的热方程的几个性质，并证明了基本解的几个性质。作为应用，我们利用鲁明微分形式的热核构建了鲁明形式的卡尔德龙重现公式。

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

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.

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