The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group

DOI10.1007/s12220-008-9038-7zbMath1176.35052OpenAlexW2058772407MaRDI QIDQ1032608

Jingzhi Tie, Man-Wah Wong

Publication date: 26 October 2009

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9038-7

zbMATH Keywords

nilpotent Lie groupsub-Laplacianquaternion Heisenberg group

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (6)

Unnamed Item ⋮ Spherical Fourier transform on the quaternionic Heisenberg group ⋮ Strichartz estimates on the quaternion Heisenberg group ⋮ On green functions for Dirichelet sub-Laplacians on a Quaternion Heisenberg group ⋮ Wavelet transform and Radon transform on the quaternion Heisenberg group ⋮ An operator related to the sub-Laplacian on the quaternionic Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric analysis on quaternion \(\mathbb H\)-type groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Patterson-Sullivan theory in higher rank symmetric spaces
• Harmonic analysis on the Heisenberg group
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• Hypoelliptic second order differential equations
• A note on Hermite and subelliptic operators
• Über die analytische Darstellung der regulären Funktionen einer Quaternionenvariablen
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the 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
• Quaternionic analysis
• Positive definite temperature functions on the Heisenberg group
• A fundamental solution for a subelliptic operator

This page was built for publication: The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group