Spectral multipliers for the Kohn Laplacian on forms on the sphere in ${\mathbb{C}}^n$

Valentina Casarino, Michael G. Cowling, Alessio Martini +1

The unit sphere $\mathbb{S}$ in ${\mathbb{C}}^n$ is equipped with the tangential Cauchy-Riemann complex and the associated Laplacian ${\square }_b$. We prove a Hörmander spectral multiplie…