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Affine Hecke algebras and orthogonal polynomials /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Affine Hecke algebras and orthogonal polynomials // I.G. Macdoald.
remainder title:	Affine Hecke Algebras & Orthogonal Polynomials
Author:	Macdonald, I. G.
Description:	1 online resource (ix, 175 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Orthogonal polynomials. -
Online resource:	https://doi.org/10.1017/CBO9780511542824
ISBN:	9780511542824 (ebook)

Affine Hecke algebras and orthogonal polynomials /
Macdonald, I. G.

Affine Hecke algebras and orthogonal polynomials /Affine Hecke Algebras & Orthogonal PolynomialsI.G. Macdoald. - 1 online resource (ix, 175 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;157. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index.

In 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.

ISBN: 9780511542824 (ebook)Subjects--Topical Terms:

527749
Orthogonal polynomials.

LC Class. No.: QA174.2 / .M28 2003

Dewey Class. No.: 512/.55

Affine Hecke algebras and orthogonal polynomials /
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245 1 0 $a Affine Hecke algebras and orthogonal polynomials / $c I.G. Macdoald.
246 3 $a Affine Hecke Algebras & Orthogonal Polynomials
264 1 $a Cambridge : $b Cambridge University Press, $c 2003.
300 $a 1 online resource (ix, 175 pages) : $b digital, PDF file(s).
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490 1 $a Cambridge tracts in mathematics ; $v 157
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index.
520 $a In 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 $a Orthogonal polynomials. $3 527749
650 0 $a Hecke algebras. $3 788111
776 0 8 $i Print version: $z 9780521824729
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511542824