Further results on the computation of the annihilators of integro-differential operators

被引：1

作者：

Cluzeau, Thomas ^{[1
]}

Pinto, Camille ^{[2
]}

Quadrat, Alban ^{[2
]}

机构：

[1] Univ Limoges, CNRS, XLIM, UMR 7252, F-87000 Limoges, France

[2] Sorbonne Univ, Inria Paris, Paris, France

来源：

PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON SYMBOLIC & ALGEBRAIC COMPUTATION, ISSAC 2023 | 2023年

关键词：

Non-commutative operators; integro-differential operators; annihilator; coherence;

D O I：

10.1145/3597066.3597083

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper exposes some effective aspects of the algebra of linear ordinary integro-differential operators with polynomial coefficients. More precisely, we prove that the annihilator of an evaluation operator is a finitely generated ideal which can be explicitly characterized and computed. This is an advance towards the development of an effective elimination theory for ordinary integro-differential operators and an effective study of linear systems of integro-differential equations with polynomial coefficients.

引用

页码：191 / 199

页数：9

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