The Laurent series on the octonions

DOI10.1007/BF03219132zbMath1221.30112MaRDI QIDQ638965

Kai Zhao, Xing Min Li, Li Zhong Peng

Publication date: 17 September 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (13)

The octonionic Bergman kernel for the unit ball ⋮ On \(k\)-analytic functions of an octonionic variable ⋮ A note on Laurent series of the octonionic analytic functions ⋮ Differential topological aspects in octonionic monogenic function theory ⋮ The octonionic Bergman kernel for the half space ⋮ Cauchy integrals on Lipschitz surfaces in octonionic space ⋮ Inhomogeneous Cauchy-Riemann equation in octonion space ⋮ Regular functions on the space of Cayley numbers ⋮ Orthonormal basis of the octonionic analytic functions ⋮ Function theories in Cayley-Dickson algebras and number theory ⋮ The all-associativity of octonions and its applications ⋮ The Paley-Wiener theorem in the non-commutative and non-associative octonions ⋮ A substitute for the set of leftk-analytic functions is not a right module

Cites Work

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• The Cauchy integral formulas on the octonions.
• Clifford wavelets, singular integrals, and Hardy spaces
• Funzioni regolari nell'algebra di Cayley
• Taylor series and orthogonality of the octonion analytic functions

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