Weighted sub-Laplacians on Métivier Groups: Essential Self-Adjointness and Spectrum

Tommaso Bruno, Mattia Calzi

Let $G$ be a Métivier group and let $N$ be any homogeneous norm on $G$. For $\alpha >0$ denote by $w_{\alpha }$ the function $e^{-N^{\alpha }}$ and consider the weighted sub-Laplacian $\mathcal{L}^{w_α}…