• Title of article

    Canonical Representations Related to Hyperbolic Spaces

  • Author/Authors

    van Dijk، نويسنده , , G. and Hille، نويسنده , , S.C.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    31
  • From page
    109
  • To page
    139
  • Abstract
    We extend the notion of canonical representation, introduced by A. M. Vershik, I. M. Gelʹfand and M. I. Graev (1982, in “Representation Theory,” Cambridge Univ. Press, Cambridge, U.K.), to all (classical) rank one semisimple Lie groups. We determine the spectral decomposition of the canonical representations in detail.
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    1997
  • Journal title
    Journal of Functional Analysis
  • Record number

    1548143