Symbolic Computation Group
David R. Cheriton School of Computer Science
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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.
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Last modified on Sunday, 04 November 2012, at 15:42 hours.