A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups

DOI10.1007/s10114-022-2100-8OpenAlexW4304701272WikidataQ115385179 ScholiaQ115385179MaRDI QIDQ2084824

Yanyan Li

Publication date: 13 October 2022

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

Full work available at URL: https://doi.org/10.1007/s10114-022-2100-8

zbMATH Keywords

heat kernelnilpotent Lie groupssub-Laplacian

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Harmonic analysis on specific compact groups (43A75) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantization on nilpotent Lie groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Nilpotent Lie groups: Structure and applications to analysis
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Harmonic analysis on the Heisenberg group
• Wiener path integrals and the fundamental solution for the Heisenberg Laplacian
• Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
• Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups
• A note on Hermite and subelliptic operators
• The Laguerre calculus on the nilpotent Lie groups of step two
• Phase-space analysis and pseudodifferential calculus on the Heisenberg group
• The heat kernel of sub-Laplace operator on nilpotent Lie groups of step two
• 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
• The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group
• The heat kernel on H-type groups
• Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*
• Uncertainty principles on two step nilpotent Lie groups