000			01814 a2200229 4500
008			220820b |||||||| |||| 00| 0 eng d
020			_a9780521824729
082			_a515.55 _bMAC
100			_aMacdonald, I. G.
245			_aAffine hecke algebras and orthogonal polynomials
260			_bCambridge University Press, _c2003. _aCambridge:
300			_aix, 174p.; _bhbk; _c24cm.
440			_aCambridge tracts in mathematics, no. 157
504			_aIncludes index and references
520			_aIn recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters. These polynomials include as special cases: symmetric functions; zonal spherical functions on real and p-adic reductive Lie groups; the Jacobi polynomials of Heckman and Opdam; and the Askey–Wilson polynomials, which themselves include as special or limiting cases all the classical families of orthogonal polynomials in one variable. This book, first published in 2003, is a comprehensive and organised account of the subject aims to provide a unified foundation for this theory, to which the author has been a principal contributor. It is an essentially self-contained treatment, accessible to graduate students familiar with root systems and Weyl groups. The first four chapters are preparatory to Chapter V, which is the heart of the book and contains all the main results in full generality. https://www.cambridge.org/core/books/affine-hecke-algebras-and-orthogonal-polynomials/5659BB708682886AAA7292E803A24FB0#fndtn-information
650			_aOrthogonal polynomials
650			_aHecke algebras
650			_aAffine algebraic groups
650			_aAlgebra
650			_aAskey–Wilson polynomials
942			_2ddc _cTD
999			_c56673 _d56673