Asymptotics for certain harmonic functions and the Martin compactification on the quaternionic Heisenberg group

DOI10.1007/s10114-005-0554-0zbMath1101.22007OpenAlexW2066692166MaRDI QIDQ2505345

Jing-Wen Luan, Zhu Fulin

Publication date: 4 October 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0554-0

zbMATH Keywords

Martin boundaryasymptotic estimateheat kernelquaternionic Heisenberg group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Martin boundary theory (31C35) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• An isoperimetric inequality for the Heisenberg groups
• The heat kernel and the Riesz transforms on the quaternionic Heisenberg groups.
• Analysis on a Generalized Heisenberg Group
• The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group

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