The Heat Kernel and Green Function of the Sub-Laplacian on the Heisenberg Group
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Publication:4914466
DOI10.1007/978-3-0348-0585-8_3zbMath1282.35392OpenAlexW200474756MaRDI QIDQ4914466
Publication date: 12 April 2013
Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0585-8_3
Heisenberg groupheat kernelGreen functionHermite functionssub-Laplaciantwisted LaplaciansWeyl transforms
General theory of partial differential operators (47F05) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Pseudodifferential operators (47G30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items
On fundamental solution for powers of the sub-Laplacian on the Heisenberg group, On the complex twisted Laplacian on \(\mathbb{C}^n\) and Poisson transform for the Heisenberg group, Semiclassical limits of the Schrödinger kernels on the \(h\)-Heisenberg group, A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups
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