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.

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Published

2000-02-02

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Issue

Vol. 13 No. 1 (2000)

Section

Articles

How to Cite

Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups. (2000). Journal of Partial Differential Equations, 13(1), 1-10. https://www.global-sci.com/index.php/jpde/article/view/3927