Characterization of octonionic analytic functions

DOI10.1080/02781070500230432zbMath1087.30046OpenAlexW2173424032MaRDI QIDQ5719144

Zhao Kai, Li Zhong Peng, Xing Min Li

Publication date: 17 January 2006

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500230432

zbMATH Keywords

octonionsoctonionic analysisoctonionic holomorphic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Nonassociative division algebras (17A35) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (12)

Cauchy-Riemann operators in octonionic analysis ⋮ The octonionic Bergman kernel for the unit ball ⋮ Differential topological aspects in octonionic monogenic function theory ⋮ The octonionic Bergman kernel for the half space ⋮ Cauchy integrals on Lipschitz surfaces in octonionic space ⋮ Unnamed Item ⋮ Regular functions on the space of Cayley numbers ⋮ On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group ⋮ Function theories in Cayley-Dickson algebras and number theory ⋮ Orthogonal invariance of the Dirac operator and the critical index of subharmonicity for octonionic analytic functions ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions ⋮ Holomorphic functions in generalized Cayley-Dickson algebras

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