Spectral Theory in Hilbert Space

Contents
Preface i
Chapter 0. Introduction 1
Chapter 1. Linear spaces 5
Exercises for Chapter 1 8
Chapter 2. Spaces with scalar product 9
Exercises for Chapter 2 13
Chapter 3. Hilbert space 15
Exercises for Chapter 3 21
Chapter 4. Operators 23
Exercises for Chapter 4 30
Chapter 5. Resolvents 31
Exercises for Chapter 5 33
Chapter 6. Nevanlinna functions 35
Chapter 7. The spectral theorem 39
Exercises for Chapter 7 44
Chapter 8. Compactness 45
Exercises for Chapter 8 49
Chapter 9. Extension theory 51
1. Symmetric operators 51
2. Symmetric relations 53
Exercises for Chapter 9 57
Chapter 10. Boundary conditions 59
Exercises for Chapter 10 67
Chapter 11. Sturm-Liouville equations 69
Exercises for Chapter 11 81
Chapter 12. Inverse spectral theory 83
1. Asymptotics of the m-function 84
2. Uniqueness theorems 87
Chapter 13. First order systems 91
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