A Skew Polynomial Approach to Integro-Differential Operators

Description

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.

Period	30 Jul 2009
Event title	ISSAC
Event type	Conference
Location	Korea, Republic ofShow on map