Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface ix
4. Chapter One. Gems of Spectral Theory 1
5. Chapter Two. Szegő’s Theorem 43
6. Chapter Three The Killip–Simon Theorem: Szegő for OPRL 143
7. Chapter Four. Sum Rules and Consequences for Matrix Orthogonal Polynomials 228
8. Chapter Five. Periodic OPRL 250
9. Chapter Six. Toda Flows and Symplectic Structures 379
10. Chapter Seven. Right Limits 418
11. Chapter Eight. Szegő and Killip–Simon Theorems for Periodic OPRL 456
12. Chapter Nine. Szegő’s Theorem for Finite Gap OPRL 477
13. Chapter Ten. A.C. Spectrum for Bethe–Cayley Trees 591
14. Bibliography 607
15. Author Index 641
16. Subject Index 647