图书信息
图书目录
对称函数和正交多项式（影印版）
暂无简介
作者：
I. G. Macdonald
定价：
35.00 元
出版时间：
2020-04-28
ISBN：
978-7-04-053593-8
物料号：
53593-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
代数学
重点项目：
暂无
版面字数：
120.000千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2023-01-01
- 前辅文
- Introduction
- Symmetric functions
- Schur functions and their generalizations
- Jacobi polynomials attached to root systems
- Constant term identities
- References
- Chapter 1.Symmetric Functions
- 1.The ring of symmetric functions
- 2.Monomial symmetric functions
- 3.Elementary symmetric functions
- 4.Complete symmetric functions
- 5.Power sums
- 6.Scalar product
- 7.Schur functions
- 8.Zonal polynomials
- 9.Jack's symmetric functions
- 10.Hall-Littlewood symmetric functions
- 11.The symmetric functions Px(q，t)
- 12.Further properties of the Px(q，t)
- Chapter 2.Orthogonal Polynomials
- 1.Introduction
- 2.Root systems
- 3.Orbit sums and Weyl characters
- 4.Scalar product
- 5.The polynomials Px
- 6.Proof of the existence theorem
- 7.Proof of the existence theorem，concluded
- 8.Some properties of the Px
- 9.The general case
- Chapter 3.Postscript
- 1.The a fine root system and the extended a fine Weyl group
- 2.The braid group
- 3.The a fine Hecke algebra
- 4.Cherednik's scalar product
- 5.Another proof of the existence theorem
- 6.The nonsymmetric polynomials Ex
- 7.Calculation of(Px，Px)
- 8.The double affine Hecke algebra and duality
- 9.The Fourier transform
- 10.The general case
- References
