• Title of article

    Non-commutative residues for anisotropic pseudo-differential operators in Rn

  • Author/Authors

    Paolo Boggiatto، نويسنده , , Fabio Nicola، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    16
  • From page
    305
  • To page
    320
  • Abstract
    In this paper we define a non-commutative residue for the algebra of classical anisotropic pseudo-differential operators on Rn modulo regularizing operators. Furthermore, by means of the Weyl formula, we show that this trace coincides with the Dixmier trace on operators of order −|M|.
  • Keywords
    Pseudo-differential operators , Non-commutative residue , Dixmier trace
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2003
  • Journal title
    Journal of Functional Analysis
  • Record number

    761657