2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153378We discuss the simultaneous diagonalization of a family of commuting difference operators by Koornwinder's multivariable generalization of the Askey-Wilson polynomials. The operators constitute a complete set of quantum integrals for a difference version of the $n$-particle quantum Calogero-Sutherland system related to the root system $BC_n$.10 pages, compressed uuencoded postscript file (instructions at the beginning of the file), to appear in the Proceedings of the Workshop on Symmetries and Integrability of Difference Equations, Esterel (Quebec, Canada), May 22-29, 1994 (eds. D. Levi, L. Vinet, and P. Winternitz)Quantum AlgebraClassical Analysis and ODEsExactly Solvable and Integrable Systemstext