A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group

DOI10.1090/S0002-9939-08-09725-6zbMath1166.32023arXiv0711.4117MaRDI QIDQ3617581

Albert Boggess, Andrew S. Raich

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4117

zbMATH Keywords

heat equationHeisenberg groupfundamental solutionheat kernelKohn Laplacian

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Heat kernels in several complex variables (32W30)

Related Items (10)

The Szegö kernel on a class of non-compact CR manifolds of high codimension ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas ⋮ Fundamental solutions to \({\square_b}\) on certain quadrics ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues ⋮ Heat kernels for a class of hybrid evolution equations ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds with nonzero eigenvalues and null variables ⋮ Heat kernels, smoothness estimates, and exponential decay ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\) ⋮ The \(\square_b\)-heat equation on quadric manifolds ⋮ Analysis on quadrics

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• Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group

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