Geometric Analysis and Curvature FlowsAdvanced Algebra and GeometryMathematical Analysis and Transform Methods
Zhipeng Yang
Abstract
In this paper, we consider the structure of the $L^2-$spectrum of the sub-Laplacian on 2-step stratified Lie groups by using the theory of unitary irreducible representations and Hermit functions. We extend the results for Heisenberg group and H-type Lie group to more general 2-step stratified Lie groups without the Moore-Wolf condition.
Citation format
YANG, Zhipeng. Spectral properties of the sub-laplacian on 2-step stratified lie groups without the moore-wolf condition. Journal of Partial Differential Equations, 2026, 39(1): 70–90.