Approximation theorems for the Moisil-Theodorescu system
type: Item
instance of: scholarly article
title: Approximation theorems for the Moisil-Theodorescu system
zbMATH Open document ID: 0581.30043
DOI: 10.1007/BF00968681
author: Yuri Grigoriev
author: V. V. Naumov
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: The authors prove a theorem of Runge type about approximation by regular polynomials for solutions of the so-called Moisil-Theodorescu system (which is not written down in the paper), this is a special case of regular functions in quaternions or in the Clifford algebra. Some applications of the Runge theorem are given. One should add to the literature chapter 3 of the book by \textit{F. Brackx}, \textit{R. Delanghe} and \textit{F. Sommen}, Clifford analysis (1982; Zbl 0529.30001) and the relevant papers cited there.
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 3929404
zbMATH Keywords: quaternionic analysis
zbMATH Keywords: Runge approximation theorem
zbMATH Keywords: function theory in algebra
zbMATH Keywords: Moisil-Theodorescu system
reviewed by: Klaus Habetha
MaRDI profile type: Publication
cites work: Q4478680
cites work: Q5567293
cites work: Q4153082
cites work: Q3964859
cites work: Q5832207
description: scientific article; zbMATH DE number 3929404