Symmetric functions and orthogonal polynomials: Dean Jacqueline B. Lewis memorial lectures, Rutgers University
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[1998]
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| Series: | University Lecture Series
Volume 12 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xv, 53 Seiten |
| ISBN: | 0821807706 9780821807705 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface ix
Introduction xi
Symmetric functions xi
Schur functions and their generalizations xi
Jacobi polynomials attached to root systems xiii
Constant term identities xiii
References xv
Chapter 1. Symmetric Functions 1
1. The ring of symmetric functions 1
2. Monomial symmetric functions 2
3. Elementary symmetric functions 3
4. Complete symmetric functions 3
5. Power sums 4
6. Scalar product 5
7. Schur functions 7
8. Zonal polynomials 10
9. Jack s symmetric functions 11
10. Hall Littlewood symmetric functions 11
11. The symmetric functions P (q,t) 12
12. Further properties of the Pa ( ?,£) 18
Chapter 2. Orthogonal Polynomials 23
1. Introduction 23
2. Root systems 23
3. Orbit sums and Weyl characters 25
4. Scalar product 26
5. The polynomials P 27
6. Proof of the existence theorem 28
7. Proof of the existence theorem, concluded 32
8. Some properties of the P 36
9. The general case 37
Chapter 3. Postscript 39
1. The affine root system and the extended affine Weyl group 39
2. The braid group 40
3. The affine Hecke algebra 41
4. Cherednik s scalar product 43
vii
viii CONTENTS
5. Another proof of the existence theorem 44
6. The nonsymmetric polynomials E 46
7. Calculation of (PA, Px) 47
8. The double affine Hecke algebra and duality 48
9. The Fourier transform 50
10. The general case 52
References 53
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| any_adam_object | 1 |
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| author_facet | Macdonald, Ian G. 1928- |
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| classification_rvk | SI 165 SK 230 SK 680 |
| classification_tum | MAT 338f |
| ctrlnum | (OCoLC)438739321 (DE-599)BVBBV011790661 |
| discipline | Mathematik |
| format | Book |
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| isbn | 0821807706 9780821807705 |
| language | English |
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| physical | xv, 53 Seiten |
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| spelling | Macdonald, Ian G. 1928- Verfasser (DE-588)123369258 aut Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University I. G. Macdonald Providence, Rhode Island American Mathematical Society [1998] © 1998 xv, 53 Seiten txt rdacontent n rdamedia nc rdacarrier University Lecture Series Volume 12 Symmetrische Funktion (DE-588)4342453-3 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Symmetrische Funktion (DE-588)4342453-3 s DE-604 Orthogonale Polynome (DE-588)4172863-4 s Erscheint auch als Online-Ausgabe 978-1-4704-2161-8 University Lecture Series Volume 12 (DE-604)BV004153846 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007959625&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Macdonald, Ian G. 1928- Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University University Lecture Series Symmetrische Funktion (DE-588)4342453-3 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4342453-3 (DE-588)4172863-4 (DE-588)1071861417 |
| title | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University |
| title_auth | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University |
| title_exact_search | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University |
| title_full | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University I. G. Macdonald |
| title_fullStr | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University I. G. Macdonald |
| title_full_unstemmed | Symmetric functions and orthogonal polynomials Dean Jacqueline B. Lewis memorial lectures, Rutgers University I. G. Macdonald |
| title_short | Symmetric functions and orthogonal polynomials |
| title_sort | symmetric functions and orthogonal polynomials dean jacqueline b lewis memorial lectures rutgers university |
| title_sub | Dean Jacqueline B. Lewis memorial lectures, Rutgers University |
| topic | Symmetrische Funktion (DE-588)4342453-3 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Symmetrische Funktion Orthogonale Polynome Konferenzschrift |
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