Cauchy-Riemann Operators in Octonionic Analysis

2017/01/30 by Janne Kauhanen, Kauhanen, Janne, Heikki Orelma +1
Mathematics · #15A63 #30G35 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1701.08698

openalex publication_date 2017/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we first recall the definition of an 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 in octonionic monogenic functions. We define some bilinear forms and derive the corresponding symmetry groups.

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