The d-bar Neumann Problem and Schrödinger Operators
d-bar Neumann Problem and Schrödinger Operators
2nd Edition
Published on 18. September 2023
XII, 324 pages
978-3-11-118292-6 (ISBN)
Description
This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.
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Other editions
Additional editions
Friedrich Haslinger
The d-bar Neumann Problem and Schrödinger Operators
Book
09/2023
2nd Edition
De Gruyter
€169.95
Shipment within 5-7 days
Previous edition
Friedrich Haslinger
The d-bar Neumann Problem and Schrödinger Operators
d-bar Neumann Problem and Schrödinger Operators
E-Book
08/2014
1st Edition
De Gruyter
€169.95
Available for download
Person
Friedrich Haslinger
, University of Vienna, Austria.
Content
- Intro
- Preface to the first edition
- Preface to the second edition
- 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
- 16 The ?-complex on the Segal-Bargmann space
- Bibliography
- Index
