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

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

2011-03-03

arxiv.org/abs/1103.0705v2

Mathematics

Spectral Theory

5 pages, mistakes corrected and a refrence added

Scientific paper

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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