000 02467nam a22003738i 4500
001 CR9780511542824
003 UkCbUP
005 20200124160239.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2003||||enk o ||1 0|eng|d
020 _a9780511542824 (ebook)
020 _z9780521824729 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA174.2
_b.M28 2003
082 0 0 _a512/.55
_221
100 1 _aMacdonald, I. G.
_q(Ian Grant),
_eauthor.
245 1 0 _aAffine Hecke algebras and orthogonal polynomials /
_cI.G. Macdoald.
246 3 _aAffine Hecke Algebras & Orthogonal Polynomials
264 1 _aCambridge :
_bCambridge University Press,
_c2003.
300 _a1 online resource (ix, 175 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v157
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aIntroduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index.
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.
650 0 _aHecke algebras.
650 0 _aOrthogonal polynomials.
776 0 8 _iPrint version:
_z9780521824729
830 0 _aCambridge tracts in mathematics ;
_v157.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511542824
999 _c518315
_d518313