The d-bar Neumann Problem and Schrödinger Operators / / Friedrich Haslinger.
The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted toBergman spaces of holomorphic d-bar functions in one and several complex variables.These operators...
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Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
Year of Publication: | 2014 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
59 |
Online Access: | |
Physical Description: | 1 online resource (241 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- 1. Bergman spaces
- 2. The canonical solution operator to ∂̄
- 3. Spectral properties of the canonical solution operator to ∂̄
- 4. The ∂̄-complex
- 5. Density of smooth forms
- 6. The weighted ∂̄-complex
- 7. The twisted ∂̄-complex
- 8. Applications
- 9. Spectral analysis
- 10. Schrödinger operators and Witten–Laplacians
- 11. Compactness
- 12. The ∂̄-Neumann operator and the Bergman projection
- 13. Compact resolvents
- 14. Spectrum of ◻ on the Fock space
- 15. Obstructions to compactness
- Bibliography
- Index
- Backmatter