Fundaments of quaternionic Clifford analysis. I: Quaternionic structure

DOI10.1007/s00006-014-0491-zzbMath1364.15016arXiv1403.2922OpenAlexW2064466018MaRDI QIDQ2514104

Roman Lávička, David Eelbode, Fred Brackx, Vladimír Souček, Hennie De Schepper

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1403.2922

zbMATH Keywords

symplectic groupDirac operatorcomplex structureHermitian Clifford analysisquaternionic Clifford analysisHermitian monogenic functionsquaternionic structure

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Clifford algebras, spinors (15A66) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Holomorphic functions of several complex variables (32A10) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (8)

Hyperquaternions: a new tool for physics ⋮ Fischer decomposition for the symplectic group ⋮ A non-distributive extension of complex numbers to higher dimensions ⋮ Cauchy’s Formula in Clifford Analysis: An Overview ⋮ Fundaments of quaternionic Clifford analysis II: splitting of equations ⋮ Fischer decomposition in symplectic harmonic analysis ⋮ The Cauchy integral formula in Hermitian, quaternionic and \(\mathfrak{osp}(4|2)\) Clifford analysis ⋮ Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis

Cites Work

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• Stable branching rules for classical symmetric pairs
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• Stirling Numbers and Spin-Euler Polynomials
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations
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