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101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAffine Hecke algebras and orthogonal polynomials /$fI.G. Macdoald$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2003.
215   $a1 online resource (ix, 175 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in mathematics ;$v157
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-511-06235-4 
311   $a0-521-82472-9 
320   $aIncludes bibliographical references (p. 170-172) and index.
327   $aIntroduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index.
330   $aIn recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters. These polynomials include as special cases: symmetric functions; zonal spherical functions on real and p-adic reductive Lie groups; the Jacobi polynomials of Heckman and Opdam; and the Askey-Wilson polynomials, which themselves include as special or limiting cases all the classical families of orthogonal polynomials in one variable. This book, first published in 2003, is a comprehensive and organised account of the subject aims to provide a unified foundation for this theory, to which the author has been a principal contributor. It is an essentially self-contained treatment, accessible to graduate students familiar with root systems and Weyl groups. The first four chapters are preparatory to Chapter V, which is the heart of the book and contains all the main results in full generality.
410  0$aCambridge tracts in mathematics ;$v157.
517 3 $aAffine Hecke Algebras & Orthogonal Polynomials
606   $aHecke algebras
606   $aOrthogonal polynomials
615  0$aHecke algebras.
615  0$aOrthogonal polynomials.
676   $a512/.55
700   $aMacdonald$b I. G$g(Ian Grant),$0885552
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910450042303321
996   $aAffine Hecke algebras and orthogonal polynomials$92449356
997   $aUNINA