Three-line theorem on the octonions

DOI10.1007/s10114-004-0313-7zbMath1062.30060OpenAlexW1979911410MaRDI QIDQ1882493

Xing Min Li, Li Zhong Peng

Publication date: 1 October 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0313-7

zbMATH Keywords

octonionsHadamard three-circle theoremO-analytic functionsthree line theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Functions of hypercomplex variables and generalized variables (30G35) Nonassociative division algebras (17A35)

Related Items (4)

A note on Laurent series of the octonionic analytic functions ⋮ Cauchy integrals on Lipschitz surfaces in octonionic space ⋮ A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions

Cites Work

• The Cauchy integral formulas on the octonions.
• Finding octonionic eigenvectors using Mathematica
• Funzioni regolari nell'algebra di Cayley
• The octonionic eigenvalue problem
• Taylor series and orthogonality of the octonion analytic functions
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