A skew polynomial approach to integro-differential operators

Regensburger, Georg and Rosenkranz, Markus and Middeke, Johannes (2009) A skew polynomial approach to integro-differential operators. In: Johnson, Jeremy R. and Park, Hyungju and Kaltofen, Erich, eds. Proceedings of the 2009 international symposium on Symbolic and algebraic computation. ACM, pp. 287-294. ISBN 978-1-60558-609-0. (doi:10.1145/1576702.1576742) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:29968)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dl.acm.org/citation.cfm?id=1576742

Abstract

We construct the algebra of integro-differential operators over an ordinary integro-differential algebra directly in terms of normal forms. In the case of polynomial coefficients, we use skew polynomials for defining the integro-differential Weyl algebra as a natural extension of the classical Weyl algebra in one variable. Its normal forms, algebraic properties and its relation to the localization of differential operators are studied. Fixing the integration constant, we regain the integro-differential operators with polynomial coefficients.

Item Type:	Book section
DOI/Identification number:	10.1145/1576702.1576742
Uncontrolled keywords:	Integro-differential operators; skew polynomials; Weyl algebra; integro-differential algebra; Baxter algebra
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Markus Rosenkranz
Date Deposited:	27 Jul 2012 15:43 UTC
Last Modified:	16 Nov 2021 10:07 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/29968 (The current URI for this page, for reference purposes)

University of Kent Author Information

Rosenkranz, Markus.

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