Contents
1. Introduction 1
2. Preliminaries and Notation 4
2.1. Contractions of class Co 4
2.2. HP(ft) Spaces 5
2.3. Arithmetic of inner functions in H°°(Q) 9
3. The Class C0 15
3.1. Construction of the functional calculus 15
3.2. The class C00 19
3.3. Minimal functions and maximal vectors 21
3.4. General properties of the class Co 24
4. Classification Theory 29
4.1. Jordan blocks 29
4.2. Multiplicity-free operators 34
4.3. The classification theorem 38
Bibliography 51
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