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对称函数和正交多项式(影印版)


作者:
I. G. Macdonald
定价:
35.00 元
版面字数:
120千字
开本:
16开
装帧形式:
精装
版次:
1
最新版次
印刷时间:
2023年
ISBN:
978-7-04-053593-8
物料号:
53593-00
出版时间:
2020-04-28
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

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  • 目录
    • 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

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