Affine Hecke Algebras and Orthogonal Polynomials (Cambridge Tracts in Mathematics)

Affine Hecke Algebras and Orthogonal Polynomials (Cambridge Tracts in Mathematics) pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:I. G. Macdonald
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頁數:186
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出版時間:2003-04-14
價格:USD 105.00
裝幀:Hardcover
isbn號碼:9780521824729
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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 first 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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