Explicit fundamental solutions for a class of left invariant operators on the nilpotent lie groupG d 1+d 2

DOI10.1007/BF02560049zbMath0783.58075OpenAlexW1979882908MaRDI QIDQ5288875

Xuebo Luo, Yaping Jiang

Publication date: 20 March 1994

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560049

zbMATH Keywords

fundamental solutionsnilpotent Lie groupshypoellipticity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (2)

Minimax-type inequalities for a family of functions with applications ⋮ Simultaneous solutions to fixed point and minimax-type inequality problems (II)

Cites Work

• A fundamental solution of the operator \({\mathcal L}'_\alpha\) on the Heisenberg group \({\mathbb{H}}^ n\)
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups
• The uncertainty principle
• Calculus on Heisenberg Manifolds. (AM-119)
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
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