Analysis on flat symmetric spaces

Salem Ben Saïd, Bent Ørsted

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


By taking an appropriate zero-curvature limit, we obtain the spherical functions on flat symmetric spaces G0/K as limits of the Harish-Chandra's spherical functions. New and explicit formulas for the spherical functions on G0/K are given. For symmetric spaces with root system of type An, we find the Taylor expansion of the spherical functions on G0/K in a series of the Jack polynomials.

Original languageEnglish
Pages (from-to)1393-1426
Number of pages34
JournalJournal des Mathematiques Pures et Appliquees
Issue number10
Publication statusPublished - Oct 2005
Externally publishedYes


  • Contraction principle
  • Spherical functions
  • Symmetric spaces

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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