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

Allal Ghanmi; Zouha\"ir Mouayn

arxiv: 1103.0705 · v2 · pith:7UBYE325new · submitted 2011-03-03 · 🧮 math.SP

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

Allal Ghanmi , Zouha\"ir Mouayn This is my paper

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keywords fundamentalsolutionsub-laplacianfollandgroupsheisenbergintegralrepresentation

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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.

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

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