Cauchy–Riemann Operators in Octonionic Analysis

Janne Kauhanen; Heikki Orelma

doi:10.1007/s00006-018-0826-2

Cauchy–Riemann Operators in Octonionic Analysis

Janne Kauhanen, Heikki Orelma

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Abstract

In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called e₄-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic monogenic functions.

Original language	English
Article number	1
Journal	Advances in Applied Clifford Algebras
Volume	28
Issue number	1
Early online date	Jan 2018
DOIs	https://doi.org/10.1007/s00006-018-0826-2
Publication status	Published - 2018
Publication type	A1 Journal article-refereed

Keywords

Cauchy–Riemann operators
Dirac operators
Monogenic functions
Octonions

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s00006-018-0826-2

CauchyRiemannOperatorsAccepted author manuscript, 254 KB

http://urn.fi/URN:NBN:fi:tty-201908211996

Cite this

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KW - Dirac operators

KW - Monogenic functions

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Cauchy–Riemann Operators in Octonionic Analysis

Abstract

Keywords

Publication forum classification

ASJC Scopus subject areas

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