Affine Hecke Algebras and Orthogonal Polynomials
By (author) I. G. Macdonald
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Affine Hecke Algebras and Orthogonal Polynomials by I. G. Macdonald
Book DescriptionIn 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.
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Book DetailsISBN: 9780521824729
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 20-Mar-2003
Country of Publication: United Kingdom
Books By Author I. G. Macdonald
Symmetric Functions and Hall Polynomials, Paperback (October 2015)
Reissued in the Oxford Classical Texts, this acclaimed second edition is nowadays the key resource on Macdonald polynomials, important for many research mathematicians.
Introduction to Commutative Algebra, Paperback (January 1994)» View all books by I. G. Macdonald
This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read
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Author Biography - I. G. Macdonald
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