Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups

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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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Spectrum;eigenvalue;left invariant differential operator: nilpotent Lie group
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Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups. (2000). Journal of Partial Differential Equations, 13(1), 1-10. https://gsp.tricubic.dev/jpde/article/view/3927