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Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
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Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 440
- Erscheinungstermin: 13. November 2018
- Englisch
- Abmessung: 240mm x 161mm x 30mm
- Gewicht: 905g
- ISBN-13: 9781107071896
- ISBN-10: 1107071895
- Artikelnr.: 41525857
- Verlag: Cambridge University Press
- Seitenzahl: 440
- Erscheinungstermin: 13. November 2018
- Englisch
- Abmessung: 240mm x 161mm x 30mm
- Gewicht: 905g
- ISBN-13: 9781107071896
- ISBN-10: 1107071895
- Artikelnr.: 41525857
Charles F. Dunkl is Professor Emeritus of Mathematics at the University of Virginia. Among his work one finds the seminal papers containing the construction of differential-difference operators associated to finite reflection groups and related integral transforms. Aspects of the theory are now called Dunkl operators, the Dunkl transform, and the Dunkl kernel. Dunkl is a Fellow of the Institute of Physics, and a member of SIAM and of its Activity Group on Orthogonal Polynomials and Special Functions, which he founded in 1990 and then chaired from 1990 to 1998.
Preface to the second edition
Preface to the first edition
1. Background
2. Orthogonal polynomials in two variables
3. General properties of orthogonal polynomials in several variables
4. Orthogonal polynomials on the unit sphere
5. Examples of orthogonal polynomials in several variables
6. Root systems and Coxeter groups
7. Spherical harmonics associated with reflection groups
8. Generalized classical orthogonal polynomials
9. Summability of orthogonal expansions
10. Orthogonal polynomials associated with symmetric groups
11. Orthogonal polynomials associated with octahedral groups and applications
References
Author index
Symbol index
Subject index.
Preface to the first edition
1. Background
2. Orthogonal polynomials in two variables
3. General properties of orthogonal polynomials in several variables
4. Orthogonal polynomials on the unit sphere
5. Examples of orthogonal polynomials in several variables
6. Root systems and Coxeter groups
7. Spherical harmonics associated with reflection groups
8. Generalized classical orthogonal polynomials
9. Summability of orthogonal expansions
10. Orthogonal polynomials associated with symmetric groups
11. Orthogonal polynomials associated with octahedral groups and applications
References
Author index
Symbol index
Subject index.
Preface to the second edition
Preface to the first edition
1. Background
2. Orthogonal polynomials in two variables
3. General properties of orthogonal polynomials in several variables
4. Orthogonal polynomials on the unit sphere
5. Examples of orthogonal polynomials in several variables
6. Root systems and Coxeter groups
7. Spherical harmonics associated with reflection groups
8. Generalized classical orthogonal polynomials
9. Summability of orthogonal expansions
10. Orthogonal polynomials associated with symmetric groups
11. Orthogonal polynomials associated with octahedral groups and applications
References
Author index
Symbol index
Subject index.
Preface to the first edition
1. Background
2. Orthogonal polynomials in two variables
3. General properties of orthogonal polynomials in several variables
4. Orthogonal polynomials on the unit sphere
5. Examples of orthogonal polynomials in several variables
6. Root systems and Coxeter groups
7. Spherical harmonics associated with reflection groups
8. Generalized classical orthogonal polynomials
9. Summability of orthogonal expansions
10. Orthogonal polynomials associated with symmetric groups
11. Orthogonal polynomials associated with octahedral groups and applications
References
Author index
Symbol index
Subject index.