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The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula - MaRDI portal

The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula (Q2698459)

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Language	Label	Description	Also known as
English	The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula	scientific article

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scholarly article

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The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula (English)

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Advances in Applied Clifford Algebras

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publication date

24 April 2023

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zbMATH Keywords

right-type groups of step-two

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the tangential \(k\)-Cauchy-Fueter operator

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Bochner-Martinelli formula

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00006-023-01267-x

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Quaternionic complexes

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Stratified Lie Groups and Potential Theory for their Sub-Laplacians

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Explicit resolutions for the complex of several Fueter operators

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Complexes of invariant operators in several quaternionic variables

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Analysis of Dirac systems and computational algebra.

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Invariant resolutions for several Fueter operators

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\(k\)-monogenic functions over 6-dimensional Euclidean space

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The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method

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The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral

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The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group

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\(k\)-Dirac complexes

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Resolution of the \({k}\)-Dirac operator

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The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

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The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of \(F_{4(-20)}\)

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The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions

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The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group

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

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The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group

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Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator

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Octonion analysis of several variables

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A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator

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The permutation formula of singular integrals with Bochner-Martinelli kernel on Stein manifolds

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Identifiers

10.1007/s00006-023-01267-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2698459

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