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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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Bibliographic Details
Main Author: Krantz, Steven G.
Format: eBook
Language:English
Published: New York, NY Springer New York 2013, 2013
Edition:1st ed. 2013
Series:Graduate Texts in Mathematics
Subjects:
Functional Analysis
Geometry, Differential
Mathematical Analysis
Analysis
Differential Geometry
Differential Equations
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

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