Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions

DOI10.4171/jems/1260arXiv2003.10487WikidataQ113691984 ScholiaQ113691984MaRDI QIDQ6057874

Xinyuan Dou, Guang Bin Ren, Irene Sabadini

Publication date: 26 October 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10487

zbMATH Keywords

quaternionsrepresentation formulaslice regular functionsextension phenomenon

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (3)

Slice quaternionic analysis in two variables ⋮ Quaternionic slice regularity beyond slice domains ⋮ Fractional slice regular functions of a quaternionic variable

Cites Work

• Unnamed Item
• Unnamed Item
• The conformal four-point integrals, magic identities and representations of \(U(2,2)\)
• Slice hyperholomorphic Schur analysis
• A new series expansion for slice regular functions
• 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
• Elements of a theory of intrinsic functions on algebras
• Spectral theory on the S-spectrum for quaternionic operators
• Analysis of Dirac systems and computational algebra.
• Slice Dirac operator over octonions
• On some properties of the quaternionic functional calculus
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• An integral theorem for analytic intrinsic functions on quaternions
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• Regular Functions of a Quaternionic Variable
• Quaternionic analysis
• Anti De Sitter Deformation of Quaternionic Analysis and the Second-Order Pole

This page was built for publication: Extension theorem and representation formula in non-axially-symmetric domains for slice regular functions