Positive definite temperature functions on the Heisenberg group

DOI10.1080/00036810600808901zbMath1101.43005OpenAlexW2074824840WikidataQ58255259 ScholiaQ58255259MaRDI QIDQ5481717

Jinman Kim, Man-Wah Wong

Publication date: 10 August 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810600808901

zbMATH Keywords

Heisenberg groupsub-Laplacianpositive definite temperature functions

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (2)

Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group ⋮ The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group

Cites Work

• Unnamed Item
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Positive definite distributions on unimodular Lie groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• The spherical transform of a Schwartz function on the Heisenberg group
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A fundamental solution for a subelliptic operator

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