Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

A Skew Polynomial Approach to Integro-Differential Operators
Johannes Middeke, Johannes Keppler University, Linz, Austria
Friday, November 13, 2009, at Univerity of Western Ontario.

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.

( joint work with Markus Rosenkranz and Georg Regensburger )

 

Last modified on Sunday, 04 November 2012, at 20:42 hours.