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Volume 13, Issue 1
Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups

Pengcheng Niu & Xuebo Luo

J. Part. Diff. Eq., 13 (2000), pp. 1-10.

Published online: 2000-02

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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.
  • Keywords

Spectrum eigenvalue left invariant differential operator: nilpotent Lie group

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COPYRIGHT: © Global Science Press

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@Article{JPDE-13-1, author = {Pengcheng Niu and Xuebo Luo }, title = {Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {1--10}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5491.html} }
TY - JOUR T1 - Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups AU - Pengcheng Niu & Xuebo Luo JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 10 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5491.html KW - Spectrum KW - eigenvalue KW - left invariant differential operator: nilpotent Lie group AB - 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.
Pengcheng Niu and Xuebo Luo . (2000). Spectral Properties of Second Order Differential Operators on Two-step Nilpotent Lie Groups. Journal of Partial Differential Equations. 13 (1). 1-10. doi:
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