On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document}

DOI10.1002/mana.201000119zbMath1273.30045OpenAlexW2133250569MaRDI QIDQ2852507

Wei Wang

Publication date: 9 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000119

zbMATH Keywords

tangential Cauchy-Fueter operatornondegenerate quadratic hypersurfaces in \(\mathbb H^2\)

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (12)

On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of \(\mathrm{Sp}{(n+1,1)}\) ⋮ The Laguerre calculus on the nilpotent Lie groups of step two ⋮ On fundamental solution for powers of the sub-Laplacian on the Heisenberg group ⋮ On the boundary complex of the \(k\)-Cauchy-Fueter complex ⋮ Estimates of Cauchy-Szegő kernel in Hardy spaces on nilpotent Lie groups of step two ⋮ The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group ⋮ The Paneitz operator on the anisotropic quaternionic Heisenberg group ⋮ An operator related to the sub-Laplacian on the quaternionic Heisenberg group

Cites Work

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• Anisotropic quaternion Carnot groups: Geometric analysis and Green function
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