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

preprint2011arXivOpen access

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

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