Contents
1. Introduction 1
2. Preliminaries 7
3. Fundamental matrix inequalities 12
4. On H{Q) spaces 18
5. Parametrizations of all solutions 23
6. The equality case 29
7. Nontangential limits 32
8. The Nevanlinna-Pick boundary problem 41
9. A multiple analogue of the Caratheodory-Julia theorem 48
10. On the solvability of a Stein equation 65
11. Positive definite solutions of the Stein equation 76
12. A Caratheodory-Fejer boundary problem 80
13. The full matrix Caratheodory-Fejer boundary problem 87
14. The lossless inverse scattering problem 94
Bibliography 105
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