On \(k\)-analytic functions of an octonionic variable

DOI10.1007/S00006-017-0807-XzbMath1386.42017OpenAlexW2754761172MaRDI QIDQ1686881

Jianquan Liao, Xing Min Li

Publication date: 18 December 2017

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

Full work available at URL: https://doi.org/10.1007/s00006-017-0807-x

zbMATH Keywords

Taylor seriesLaurent series\(k\)-analytic functionsCauchy integral formulasStein-Weiss conjugate polyharmonic systems

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Functions of hypercomplex variables and generalized variables (30G35) Nonassociative division algebras (17A35)

Cites Work

• Slice regular functions on real alternative algebras
• The Laurent series on the octonions
• The Cauchy integral formulas on the octonions.
• On the theory of harmonic functions of several variables
• On \(k\)-regular functions with values in a universal Clifford algebra
• Cauchy integrals on Lipschitz surfaces in octonionic space
• Regular functions on the space of Cayley numbers
• Funzioni regolari nell'algebra di Cayley
• A note on Laurent series of the octonionic analytic functions
• Orthonormal basis of the octonionic analytic functions
• A substitute for the set of leftk-analytic functions is not a right module
• The all-associativity of octonions and its applications
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• The octonions
• On polyanalytic functions
• Taylor series and orthogonality of the octonion analytic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On \(k\)-analytic functions of an octonionic variable