Now showing items 1-2 of 2

    • IconContinuous division of differential operators  [Article]

      Hauser, Herwig; Narváez Macarro, Luis (Association des Annales de l'Institut Fourier, 2001)
      In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant ...
    • IconEncoding algebraic power series  [Article]

      Alonso García, María Emilia; Castro Jiménez, Francisco Jesús; Hauser, Herwig (Springer, 2017)
      The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when expressed suitably in terms of the defining polynomial codes of the series. In particular, the codes ...