A representation formula for slice regular functions over slice-cones in several variables

DOI10.1007/s10231-023-01325-yzbMath1526.30062arXiv2011.13770MaRDI QIDQ6046910

Guang Bin Ren, Irene Sabadini, Xinyuan Dou

Publication date: 6 September 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13770

zbMATH Keywords

quaternionsClifford algebraoctonionsrepresentation formulaslice regular functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Nonassociative algebras satisfying other identities (17A30)

Related Items

An extension of slice regular functions in terms of fiber bundle theory

Cites Work

• Unnamed Item
• Slice hyperholomorphic Schur analysis
• Slice regular functions on real alternative algebras
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• Power series and analyticity over the quaternions
• Extension results for slice regular functions of a quaternionic variable
• Slice monogenic functions
• Regular functions on the space of Cayley numbers
• Twistor interpretation of slice regular functions
• Slice regular functions in several variables
• Weak slice regular functions on the \(n\)-dimensional quadratic cone of octonions
• A new approach to slice analysis via slice topology
• On some properties of the quaternionic functional calculus
• Carathéodory theorems for slice regular functions
• Growth and distortion theorems for slice monogenic functions
• A new theory of regular functions of a quaternionic variable
• An integral theorem for analytic intrinsic functions on quaternions
• On right alternative algebras
• Julia theory for slice regular functions
• Entire Slice Regular Functions
• Algebraic properties of the module of slice regular functions in several quaternionic variables
• Regular Functions of a Quaternionic Variable
• The generalised inverse
• Quaternionic Approximation
• Michele Sce's Works in Hypercomplex Analysis
• Slice regular functions of several octonionic variables
• On a class of automorphisms in H² which resemble the property of preserving volume