First presenter Co-presenter(s)
Name : Dr Georg Regensburger * Name: Dr Markus Rosenkranz
E-mail: georg.regensburger@oeaw.ac.at E-mail:   markus.rosenkranz@oeaw.ac.at
Affiliation: Johann Radon Institute for Computational and Applied Mathematics (RICAM) Name:  Johannes Middeke
Department:   E-mail:   Johannes.Middeke@risc.uni-linz.ac.at 
City: Name:   
State/Province:   E-mail:    
Country: Austria Name:   
Talk
Number:		 10-05  E-mail:    
Session: 10- Algebraic and Algorithmic Aspects of Differential and Integral Operators Schedule:
 
Room:		 Thursday, 16:30
 
B-2620
Related website:  
Title of
presentation:		 Integro-Differential Operators as an Ore Algebra
Slides of this talk (PDF)
Abstract:

Slides of this talk (PDF)

The notion of integro-differential algebra brings together the usual derivation structure with an algebraic version of indefinite integration and evaluation. We construct the associated algebra of integro-differential operators (used for modeling Green's operators for linear boundary problems) directly in terms of normal forms. For polynomial coefficients, we can use skew polynomials, defining the integro-differential Weyl algebra as a natural extension of the classical Weyl algebra in one variable. Its 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