Contents
Chapter 1. Introduction 1
Chapter 2. Functional Models for Row-Isometric/Row-Unitary Operator
Tuples 6
2.1. The classical case 6
2.2. Functional models of noncommutative formal power series 7
2.3. Hardy subspaces 13
2.4. Intertwining operators 17
Chapter 3. Cuntz Scattering Systems 35
3.1. Basic geometric structure of Cuntz scattering systems 35
3.2. The scattering function and models for Cuntz scattering systems 39
3.3. The colligation associated with a Cuntz scattering system 43
Chapter 4. Unitary Colligations 55
4.1. Preliminaries 5 5
4.2. The Cuntz scattering system associated with a unitary colligation U
and Cuntz weight W* 61
Chapter 5. Scattering, Systems and Dilation Theory: the Cuntz-Toeplitz
Setting 80
5.1. Outgoing Cuntz scattering systems 80
5.2. Cuntz unitary colligations and outgoing Cuntz scattering systems 84
5.3. Model theory for row contractions 88
5.4. Realization theory 95
Bibliography 99
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