مسئله نویمن دی-بار و عملگرهای شرودینگر ۲۰۲۳
The d-bar Neumann Problem and Schrödinger Operators 2023

1. Preface to the first edition

2. Preface to the second edition

3. Contents

1 Bergman spaces

2 The canonical solution operator to ᾱ

3 Spectral properties of the canonical solution operator to ᾱ

4 The ᾱ-complex

5 Density of smooth forms

6 The weighted ᾱ-complex

7 The twisted ᾱ-complex

8 Applications

9 Spectral analysis

10 Schrödinger operators and Witten Laplacians

11 Compactness

12 The ᾱ-Neumann operator and the Bergman projection

13 Compact resolvents

14 Spectrum of ◻ on the Fock space

15 Obstructions to compactness

16 The ᾱ-complex on the Segal–Bargmann space

20. Bibliography

21. Index