Linear BVPs and SIEs for generalized regular functions in Clifford analysis
type: Item
instance of: scholarly article
title: Linear BVPs and SIEs for generalized regular functions in Clifford analysis
zbMATH Open document ID: 1391.30061
DOI: 10.1155/2018/6967149
author: Pingrun Li
author: Lixia Cao
published in: Journal of Function Spaces
publication date: 2018-06-14T00:00:00Z
review text: Summary: We study some properties of a regular function in Clifford analysis and generalize Liouville theorem and Plemelj formula with values in Clifford algebra \(A_n(\mathbb{R})\). By means of the classical Riemann boundary value problem and of the theory of a regular function, we discuss some boundary value problems and singular integral equations in Clifford analysis and obtain the explicit solutions and the conditions of solvability. Thus, the results in this paper will be of great significance for the study of improving and developing complex analysis, integral equation, and boundary value theory.
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 6888528
zbMATH Keywords: Clifford analysis
zbMATH Keywords: regular functions
zbMATH Keywords: boundary value problems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6967149
OpenAlex ID: W2801959705
cites work: Q4023960
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description: scientific article; zbMATH DE number 6888528