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

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.

5 pages, mistakes corrected and a refrence added