An operator related to the sub-Laplacian on the quaternionic Heisenberg group

DOI10.1007/s00006-022-01206-2zbMath1496.53044OpenAlexW4213194980MaRDI QIDQ2113258

Bei Wang, Haimeng Wang

Publication date: 11 March 2022

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-022-01206-2

zbMATH Keywords

fundamental solutionsub-Laplaciangroup Fourier transformnon-isotropic quaternionic Heisenberg group

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• On the Cauchy-Szegő kernel for quaternion Siegel upper half-space
• A fundamental solution for the Laplace operator on the quaternionic Heisenberg group
• Non-elliptic Laplace equations on nilpotent Lie groups
• Quaternion \(H\)-type group and differential operator \(\Delta_\lambda \)
• Laguerre calculus and Paneitz operator on the Heisenberg group
• The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• Analysis of the Kohn Laplacian on quadratic CR manifolds.
• On fundamental solution for powers of the sub-Laplacian on the Heisenberg group
• Analysis of second order differential operators on Heisenberg groups. II
• The heat kernel and the Riesz transforms on the quaternionic Heisenberg groups.
• Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups
• Anisotropic quaternion Carnot groups: Geometric analysis and Green function
• On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group
• A note on Hermite and subelliptic operators
• The Laguerre calculus on the nilpotent Lie groups of step two
• Some Differential Operators Related to the Non-Isotropic Heisenberg Sub-Laplacian
• On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document}
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• The Szegö kernel for k-CF functions on the quaternionic Heisenberg group
• The inverse of some differential operators on the heisenberg group
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians
• The Paneitz operator on the anisotropic quaternionic Heisenberg group
• Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group

This page was built for publication: An operator related to the sub-Laplacian on the quaternionic Heisenberg group