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Field Extensions and Extensions of Linear Differential Operators

Field Extensions and Extensions of Linear Differential Operators Let K ⊂ R ⊂ P be a tower of fields, N be a P-module, and Δ: R → N be a K-linear differential operator. The aim of this paper is to investigate whether the operator Δ has an extension to P, i.e. if these exists a differential operator Δ′: P → N such that Δ′|R = Δ. The results of this paper were published in Russian in Mat. Zametki 30(2) (1981), 237–248. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Field Extensions and Extensions of Linear Differential Operators

Vinogradov, Michael
Acta Applicandae Mathematicae , Volume 49 (3) – Oct 15, 2004
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References (4)

Publisher
Springer Journals
Copyright
Copyright © 1997 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1005802708344
Publisher site
See Article on Publisher Site

Abstract

Let K ⊂ R ⊂ P be a tower of fields, N be a P-module, and Δ: R → N be a K-linear differential operator. The aim of this paper is to investigate whether the operator Δ has an extension to P, i.e. if these exists a differential operator Δ′: P → N such that Δ′|R = Δ. The results of this paper were published in Russian in Mat. Zametki 30(2) (1981), 237–248.

Journal

Acta Applicandae Mathematicae – Springer Journals

Published: Oct 15, 2004

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