Carnot Geometry and the Resolvent of the Sub-Laplacian for the Heisenberg Group

DOI10.1081/PDE-120020495zbMath1035.35027OpenAlexW2055188928MaRDI QIDQ4807606

Peter A. Perry

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120020495

zbMATH Keywords

semiclassical asymptoticsresolvent kernelCarnot geometrySub-Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analysis on other specific Lie groups (43A80) Subelliptic equations (35H20)

Related Items

The Selberg zeta function and scattering poles for Kleinian groups

Cites Work

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• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• 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
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• The wave equation on the heisenberg group