Macdonald formula for spherical functions on affine buildings
Authors:
- A. M. ManteroAMA. M. Mantero
- A. ZappaAZA. Zappa
- 1 January 2011
- journal article
- Published by MathDoc/Centre Mersenne in Annales de la Faculté des sciences de Toulouse : Mathématiques
- Vol. 20 (4) , 669-758
Abstract
In this paper we explicitly determine the Macdonald formula for spherical functions on any locally finite, regular and affine Bruhat-Tits building, by constructing the finite difference equations that must be satisfied and explaining how they arise, by only using the geometric properties of the building.Keywords
This publication has 8 references indexed in Scilit:
- Spherical harmonic analysis on affine buildingsMathematische Zeitschrift, 2006
- Buildings and Hecke algebrasJournal of Algebra, 2006
- Alcove Walks, Hecke Algebras, Spherical Functions, Crystals and Column Strict TableauxPure and Applied Mathematics Quarterly, 2006
- ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRASJournal of the Institute of Mathematics of Jussieu, 2004
- Affine Hecke Algebras and Orthogonal Polynomials2003
- Spherical Harmonic Analysis on Buildings of Type à nMonatshefte für Mathematik, 2001
- Harmonic analysis for groups acting on triangle buildingsJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1994
- Reflection Groups and Coxeter Groups1990