RISC RISC Research Institute for Symbolic Computation  
  • @inproceedings{RISC4025,
    author = {Georg Regensburger and Markus Rosenkranz and Johannes Middeke},
    title = {{A skew polynomial approach to integro-differential operators}},
    booktitle = {{Proceedings of ISSAC 2009}},
    language = {english},
    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. },
    pages = {287--294},
    publisher = {ACM},
    isbn_issn = {978-1-60558-609-0},
    year = {2009},
    editor = {Jeremy R. Johnson and Hyungju Park and Erich Kaltofen},
    refereed = {yes},
    length = {8},
    conferencename = {Symbolic and Algebraic Computation, International Symposium, ISSAC 2009},
    url = {http://issac2009.kias.re.kr/}