Affine Hecke algebras and orthogonal polynomials:
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 redu...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2003
|
| Series: | Cambridge tracts in mathematics
157 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| 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 |
| Physical Description: | 1 Online-Ressource (ix, 175 Seiten) |
| ISBN: | 9780511542824 |
| DOI: | 10.1017/CBO9780511542824 |
Staff View
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| 490 | 0 | |a Cambridge tracts in mathematics |v 157 | |
| 505 | 8 | |a Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index | |
| 520 | |a 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 | ||
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| author | Macdonald, Ian G. 1928- |
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| contents | Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index |
| ctrlnum | (ZDB-20-CBO)CR9780511542824 (OCoLC)850028306 (DE-599)BVBBV043942121 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| id | DE-604.BV043942121 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511542824 |
| language | English |
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| physical | 1 Online-Ressource (ix, 175 Seiten) |
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| publishDate | 2003 |
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| publisher | Cambridge University Press |
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| spelling | Macdonald, Ian G. 1928- Verfasser (DE-588)123369258 aut Affine Hecke algebras and orthogonal polynomials I.G. Macdoald Affine Hecke Algebras & Orthogonal Polynomials Cambridge Cambridge University Press 2003 1 Online-Ressource (ix, 175 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 157 Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index 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 Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 s Orthogonale Polynome (DE-588)4172863-4 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-82472-9 https://doi.org/10.1017/CBO9780511542824 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Macdonald, Ian G. 1928- Affine Hecke algebras and orthogonal polynomials Introduction -- Affine root systems -- The extended affine Weyl group -- The braid group -- The affine Hecke algebra -- Orthogonal polynomials -- The rank 1 case -- Bibliography -- Index Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4159341-8 |
| title | Affine Hecke algebras and orthogonal polynomials |
| title_alt | Affine Hecke Algebras & Orthogonal Polynomials |
| title_auth | Affine Hecke algebras and orthogonal polynomials |
| title_exact_search | Affine Hecke algebras and orthogonal polynomials |
| title_full | Affine Hecke algebras and orthogonal polynomials I.G. Macdoald |
| title_fullStr | Affine Hecke algebras and orthogonal polynomials I.G. Macdoald |
| title_full_unstemmed | Affine Hecke algebras and orthogonal polynomials I.G. Macdoald |
| title_short | Affine Hecke algebras and orthogonal polynomials |
| title_sort | affine hecke algebras and orthogonal polynomials |
| topic | Hecke algebras Orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd Hecke-Algebra (DE-588)4159341-8 gnd |
| topic_facet | Hecke algebras Orthogonal polynomials Orthogonale Polynome Hecke-Algebra |
| url | https://doi.org/10.1017/CBO9780511542824 |
| work_keys_str_mv | AT macdonaldiang affineheckealgebrasandorthogonalpolynomials AT macdonaldiang affineheckealgebrasorthogonalpolynomials |