Expansion of the Heisenberg integral mean via iterated Kohn Laplacians: A Pizzetti-type formula (Q1611277)

Let \(\Delta_{\mathbb{H}^N}\) be the Kohn-Laplace operator on the Heisenberg group \(\mathbb{H}^N\). The main goal of the paper is to study by direct methods the solid integral mean in \(\Delta_{\mathbb{H}^N}\) case and to show its \(R\)-expansion. The author obtains a formula which highlights the role played by higher commutators related to the underlying group structure of \(\mathbb{H}^N\), a role which could not be noticed in the commutative \(\Delta\) case.