Taylor series and orthogonality of the octonion analytic functions

DOI10.1016/S0252-9602(17)30418-6zbMath1003.30032OpenAlexW2783738108MaRDI QIDQ5959677

Xing Min Li, Li Zhong Peng

Publication date: 20 March 2002

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30418-6

zbMATH Keywords

Taylor seriesorthogonalityoctonions0-analytic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Nonassociative division algebras (17A35)

Related Items (10)

Three-line theorem on the octonions ⋮ On \(k\)-analytic functions of an octonionic variable ⋮ A note on Laurent series of the octonionic analytic functions ⋮ The Laurent series on the octonions ⋮ Cauchy integrals on Lipschitz surfaces in octonionic space ⋮ Inhomogeneous Cauchy-Riemann equation in octonion space ⋮ Orthonormal basis of the octonionic analytic functions ⋮ Orthogonal invariance of the Dirac operator and the critical index of subharmonicity for octonionic analytic functions ⋮ The all-associativity of octonions and its applications ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions

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