Cauchy–Riemann Operators in Octonionic Analysis
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DOI: 10.1007/s00006-018-0826-2
Abstract: In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called $$e_4$$e4-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic… read more here.
Keywords: riemann operators; cauchy riemann; operators octonionic; octonionic analysis ... See more keywords
Application of the Weyl Calculus Perspective on Discrete Octonionic Analysis in Bounded Domains
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DOI: 10.1007/s11785-024-01653-8
Abstract: In this paper, we extend the discrete octonionic analysis by presenting a Weyl calculus-based approach to bounded domains in R8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^{8}$$\end{document}. In particular, we explicitly prove… read more here.
Keywords: weyl calculus; bounded domains; octonionic analysis; discrete octonionic ... See more keywords