Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups
Authors
Pengcheng Niu & Xuebo Luo
Keywords:
Spectrum;eigenvalue;left invariant differential operator: nilpotent Lie group
Abstract
In this paper, spectral properties of certain left invariant differential operators on two-step nilpotent Lie groups are completely described by using the theory of unitary irreducible representations and the Plancherel formulae on nilpotent Lie groups.
