Affine hecke algebras and orthogonal polynomials

By:

Macdonald, I. G

Series: Cambridge tracts in mathematics, no. 157Publication details: Cambridge University Press, 2003. Cambridge:Description: ix, 174p.; hbk; 24cmISBN:

9780521824729

Subject(s):

DDC classification:

515.55 MAC

Summary: 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. https://www.cambridge.org/core/books/affine-hecke-algebras-and-orthogonal-polynomials/5659BB708682886AAA7292E803A24FB0#fndtn-information

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.55 MAC (Browse shelf(Opens below))	1	Available		031767

Includes index and references

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.

https://www.cambridge.org/core/books/affine-hecke-algebras-and-orthogonal-polynomials/5659BB708682886AAA7292E803A24FB0#fndtn-information

There are no comments on this title.

to post a comment.