Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- PART ONE Commutative Theory
- 1 The Origins of Operator-Theoretic Approaches to Function Theory
- 2 Operator Analysis on D: Model Formulas, Lurking Isometries, and Positivity Arguments
- 3 Further Development of Models on the Disc
- 4 Operator Analysis on D2
- 5 Carathéodory–Julia Theory on the Disc and the Bidisc
- 6 Herglotz and Nevanlinna Representations in Several Variables
- 7 Model Theory on the Symmetrized Bidisc
- 8 Spectral Sets: Three Case Studies
- 9 Calcular Norms
- 10 Operator Monotone Functions
- PART TWO Non-Commutative Theory
- Notation
- Bibliography
- Index
5 - Carathéodory–Julia Theory on the Disc and the Bidisc
from PART ONE - Commutative Theory
Published online by Cambridge University Press: 06 March 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- PART ONE Commutative Theory
- 1 The Origins of Operator-Theoretic Approaches to Function Theory
- 2 Operator Analysis on D: Model Formulas, Lurking Isometries, and Positivity Arguments
- 3 Further Development of Models on the Disc
- 4 Operator Analysis on D2
- 5 Carathéodory–Julia Theory on the Disc and the Bidisc
- 6 Herglotz and Nevanlinna Representations in Several Variables
- 7 Model Theory on the Symmetrized Bidisc
- 8 Spectral Sets: Three Case Studies
- 9 Calcular Norms
- 10 Operator Monotone Functions
- PART TWO Non-Commutative Theory
- Notation
- Bibliography
- Index
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- Operator AnalysisHilbert Space Methods in Complex Analysis, pp. 131 - 147Publisher: Cambridge University PressPrint publication year: 2020