Cauchy-Riemann operators in octonionic analysis

DOI10.1007/s00006-018-0826-2zbMath1394.30035arXiv1701.08698OpenAlexW2585568583MaRDI QIDQ1644438

Heikki Orelma, Janne Kauhanen

Publication date: 21 June 2018

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

Full work available at URL: https://arxiv.org/abs/1701.08698

zbMATH Keywords

Dirac operatorsoctonionsmonogenic functionsCauchy-Riemann operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66)

Related Items

Octonion offset linear canonical transform ⋮ Conformal mappings revisited in the octonions and Clifford algebras of arbitrary dimension ⋮ Differential topological aspects in octonionic monogenic function theory ⋮ Beurling's theorem associated with octonion algebra valued signals ⋮ Octonion short‐time linear canonical transform ⋮ The uncertainty principle for the octonion Fourier transform ⋮ Cauchy formulae and Hardy spaces in discrete octonionic analysis ⋮ On the structure of octonion regular functions ⋮ Function theories in Cayley-Dickson algebras and number theory ⋮ Higher order gradients of monogenic functions ⋮ Uncertainty principles for the windowed Hankel transform

Cites Work

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• Fischer decomposition by inframonogenic functions
• Clifford analysis in two and several vector variables
• The octonions
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Characterization of octonionic analytic functions