Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Formal Reproducing Kernel Hilbert Spaces
- 3 Contractive Multipliers
- 4 Stein Relations and Observability Range Spaces
- 5 Beurling–Lax Theorems Based on Contractive Multipliers
- 6 Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 7 Orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 8 Models for ω-Hypercontractive Operator Tuples
- 9 Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series
- References
- Notation Index
- Subject Index
2 - Formal Reproducing Kernel Hilbert Spaces
Published online by Cambridge University Press: 09 December 2021
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Formal Reproducing Kernel Hilbert Spaces
- 3 Contractive Multipliers
- 4 Stein Relations and Observability Range Spaces
- 5 Beurling–Lax Theorems Based on Contractive Multipliers
- 6 Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 7 Orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 8 Models for ω-Hypercontractive Operator Tuples
- 9 Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series
- References
- Notation Index
- Subject Index
Summary
Chapter 2 develops the basic notion of Formal Noncommutative Reproducing-Kernel Hilbert Space which generalizes the classical notion of Reproducing Kernel Hilbert Space to a noncommutative setting. This formalism in turn is a convenient formalism for modeling freely noncommutative shift-operator tuples.
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- Publisher: Cambridge University PressPrint publication year: 2021