Geometric Analysis of the Bergman Kernel and Metric
This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel...
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
2013, 2013
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Edition: | 1st ed. 2013 |
Series: | Graduate Texts in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- 1. Introductory Ideas
- 2. The Bergman Metric
- 3. Geometric and Analytic Ideas
- 4. Partial Differential Equations
- 5. Further Geometric Explorations
- 6. Additional Analytic Topics
- 7. Curvature of the Bergman Metric
- 8. Concluding Remarks
- Table of Notation
- Bibliography
- Index