Symbolic Computation Group
David R. Cheriton School of Computer Science


Friday, November 13, 2009, at Univerity of Western Ontario.
Abstract:
We construct the algebra of integrodifferential operators over an ordinary
integrodifferential algebra directly in terms of normal forms. In the case of
polynomial coefficients, we use skew polynomials for defining the
integrodifferential 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 integrodifferential operators with
polynomial coefficients.

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