The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula
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Publication:2698459
DOI10.1007/s00006-023-01267-xOpenAlexW4360975655MaRDI QIDQ2698459
Publication date: 24 April 2023
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-023-01267-x
Nilpotent and solvable Lie groups (22E25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Cites Work
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- The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group
- \(k\)-monogenic functions over 6-dimensional Euclidean space
- The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral
- Explicit resolutions for the complex of several Fueter operators
- Quaternionic complexes
- Resolution of the \({k}\)-Dirac operator
- \(k\)-Dirac complexes
- Analysis of Dirac systems and computational algebra.
- The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group
- The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of \(F_{4(-20)}\)
- The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method
- A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator
- Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator
- Octonion analysis of several variables
- The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
- 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 permutation formula of singular integrals with Bochner-Martinelli kernel on Stein manifolds
- Invariant resolutions for several Fueter operators
- On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document}
- Complexes of invariant operators in several quaternionic variables
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians