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An integral representation for Folland's fundamental solution of the sub-Laplacian on Heisenberg groups $\Bbb{H}^{n}$

By Allal Ghanmi and Zouhaïr Mouayn

Abstract

We prove that the Folland's fundamental solution for the sub-Laplacian on Heisenberg groups can also be derived form the resolvent kernel of this sub-Laplacian. This provides us with a new integral representation for this fundamental solution.Comment: 5 pages, mistakes corrected and a refrence adde

Topics: Mathematics - Spectral Theory
Year: 2011
OAI identifier: oai:arXiv.org:1103.0705
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