Spectral Multipliers on Lie Groups of Polynomial Growth
Spectral Multipliers on Lie Groups of Polynomial Growth
Let $L$ be a left invariant sub-Laplacian on a connected Lie group $G$ of polynomial volume growth, and let $\{ {E_\lambda },\lambda \geqslant 0\}$ be the spectral resolution of $L$ and $m$ a bounded Borel measurable function on $[0,\infty )$. In this article we give a sufficient condition on $m$ …