Spectral projection operators of the Sub-Laplacian and Laguerre calculus on non-degenerate nilpotent Lie groups of step two

Qianqian Kang, Der-Chen Chang, Wei Wang

In this paper, we introduce the spectral projection operators ${\mathbb{P}}_m$ on non-degenerate nilpotent Lie groups $\mathcal{N}$ of step two, associated to the joint spectrum of s…