The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group
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Publication:617974
DOI10.1016/j.geomphys.2010.10.006zbMath1218.30144OpenAlexW2012725969MaRDI QIDQ617974
Publication date: 14 January 2011
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.10.006
Related Items (20)
On fundamental solution for powers of the sub-Laplacian on the Heisenberg group ⋮ On the Cauchy-Szegő kernel for quaternion Siegel upper half-space ⋮ Cauchy–Szegö commutators on weighted Morrey spaces ⋮ On Radon-Penrose transformation and \(k\)-Cauchy-Fueter operator ⋮ On the boundary complex of the \(k\)-Cauchy-Fueter complex ⋮ The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula ⋮ A variational approach to the quaternionic Monge-Ampère equation ⋮ On the optimal control method in quaternionic analysis ⋮ On twistor transformations and invariant differential operator of simple Lie group G2(2) ⋮ Quaternionic Monge-Ampère operator for unbounded plurisubharmonic functions ⋮ Sub-Riemannian Geometry and Hypoelliptic Operators ⋮ The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group ⋮ 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 ⋮ On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document} ⋮ The Paneitz operator on the anisotropic quaternionic Heisenberg group ⋮ An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications ⋮ On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
Cites Work
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- The Yamabe problem on quaternionic contact manifolds
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- Quaternionic complexes
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- Equivariant first order differential operators on boundaries of symmetric spaces
- The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
- Invariant resolutions for several Fueter operators
- Analysis of the module determining the properties of regular functions of several quaternionic variables.
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