Abstract
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 language | English |
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Pages (from-to) | 1393-1426 |
Number of pages | 34 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 84 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2005 |
Externally published | Yes |
Keywords
- Contraction principle
- Spherical functions
- Symmetric spaces
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics