Approximation theorems for the Moisil-Theodorescu system (Q1068245)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Approximation theorems for the Moisil-Theodorescu system |
scientific article; zbMATH DE number 3929404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation theorems for the Moisil-Theodorescu system |
scientific article; zbMATH DE number 3929404 |
Statements
Approximation theorems for the Moisil-Theodorescu system (English)
0 references
1984
0 references
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.
0 references
quaternionic analysis
0 references
Runge approximation theorem
0 references
function theory in algebra
0 references
Moisil-Theodorescu system
0 references