Book contents
- Frontmatter
- Contents
- 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
6 - Root Systems and Coxeter Groups
Published online by Cambridge University Press: 05 August 2014
- Frontmatter
- Contents
- 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
Summary
- Type
- Chapter
- Information
- Orthogonal Polynomials of Several Variables , pp. 174 - 207Publisher: Cambridge University PressPrint publication year: 2014