Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups

Alessio Martini, Alessandro Ottazzi, Maria Vallarino

Let $G=N⋊A$, where $N$ is a stratified group and $A=\mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous sub-Laplacians on $N$ and $A$ can be lifted to left-i…