Book contents
- Frontmatter
- Contents
- Foreword
- Symbols
- Preface
- 1 Introduction
- Part One Historical and Theoretical Background
- 2 Positive-definite Kernels and Moment Problems
- 3 Univariate Christoffel–Darboux Analysis
- 4 Multivariate Christoffel–Darboux Analysis
- 5 Singular Supports
- Part Two Statistics and Applications to Data Analysis
- Part Three Complementary Topics
- References
- Index
3 - Univariate Christoffel–Darboux Analysis
from Part One - Historical and Theoretical Background
Published online by Cambridge University Press: 31 March 2022
Book contents
- Frontmatter
- Contents
- Foreword
- Symbols
- Preface
- 1 Introduction
- Part One Historical and Theoretical Background
- 2 Positive-definite Kernels and Moment Problems
- 3 Univariate Christoffel–Darboux Analysis
- 4 Multivariate Christoffel–Darboux Analysis
- 5 Singular Supports
- Part Two Statistics and Applications to Data Analysis
- Part Three Complementary Topics
- References
- Index
Summary
A snapshot of the theory of orthogonal polynomials on the line or on the circle is presented from the point of view of the asymptotics of bounded point evaluation constants, touching on classical fields of approximation theory of real functions, as well as complex analytic functions of a single variable.
Keywords
- Type
- Chapter
- Information
- The Christoffel–Darboux Kernel for Data Analysis , pp. 27 - 41Publisher: Cambridge University PressPrint publication year: 2022