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.
Several topics are presented for the first time in book form
Textbook for graduate students that will also benefit seasoned researchers in mathematics
Includes illustrative examples and carefully chosen exercises
Discusses applications to function theory, geometry, partial differential equations, and interpretations in terms of functional analysis