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
2 - Positive-definite Kernels and Moment Problems
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 brief introduction based on several classical examples to the correspondence between positive-definite kernels and Hilbert spaces of functions is tuned around the Christoffel-Darboux kernel and its relevance to moment problems.
Keywords
- Type
- Chapter
- Information
- The Christoffel–Darboux Kernel for Data Analysis , pp. 9 - 26Publisher: Cambridge University PressPrint publication year: 2022