• Title of article

    Eigenfunctions of Macdonaldʹsq-Difference Operator for the Root System of TypeCn

  • Author/Authors

    Katsuhisa Mimachi، نويسنده , , Katsuhisa، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    7
  • From page
    272
  • To page
    278
  • Abstract
    We construct an integral representation of eigenfunctions for Macdonaldʹsq-difference operator associated with the root system of typeCn. It is given in terms of a restriction of aq-Jordan–Pochhammer integral. Choosing a suitable cycle of the integral, we obtain an integral representation of a special case of the Macdonald polynomial for the root system of typeCn.
  • Keywords
    Macdonaldיsq-difference operator , Macdonald polynomials , q-Jordan–Pochhammer integral
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    1999
  • Journal title
    Journal of Functional Analysis
  • Record number

    1549267