Preface

1 Introduction

2 Vector and function spaces

3 Linear operator and functionals

4 Compact operators and singular value decomposition

5 Perturbation theory

6 Smoothing and regularization

7 Random elements in a Hilbert space

8 Mean and covariance estimation

9 Principal components analysis

10 Canonical correlation analysis

11 Regression

References

Index

Notation Index

1 Introduction

2 Vector and function spaces

3 Linear operator and functionals

4 Compact operators and singular value decomposition

5 Perturbation theory

6 Smoothing and regularization

7 Random elements in a Hilbert space

8 Mean and covariance estimation

9 Principal components analysis

10 Canonical correlation analysis

11 Regression

References

Index

Notation Index