9. Spectral analysis

Chapters in this book

1. Frontmatter i
2. Preface vii
3. Contents ix
4. 1. Bergman spaces 1
5. 2. The canonical solution operator to ∂̄ 16
6. 3. Spectral properties of the canonical solution operator to ∂̄ 36
7. 4. The ∂̄-complex 50
8. 5. Density of smooth forms 87
9. 6. The weighted ∂̄-complex 104
10. 7. The twisted ∂̄-complex 114
11. 8. Applications 119
12. 9. Spectral analysis 127
13. 10. Schrödinger operators and Witten–Laplacians 166
14. 11. Compactness 183
15. 12. The ∂̄-Neumann operator and the Bergman projection 207
16. 13. Compact resolvents 216
17. 14. Spectrum of ◻ on the Fock space 221
18. 15. Obstructions to compactness 229
19. Bibliography 235
20. Index 239
21. Backmatter 242