Invariant Distances and Metrics in Complex Analysis

As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of... Ausführliche Beschreibung

1. Verfasser:
Weitere Verfasser: [author.]
Verfasserangabe: Marek Jarnicki, Peter Pflug.
Format: E-Book
veröffentlicht: Berlin ; Boston : De Gruyter, [2013]
Umfang: 1 online resource (878 p.)
Enthält auch: Frontmatter -- Preface to the second edition -- Preface to the first edition -- Contents -- Chapter 1. Hyperbolic geometry of the unit disc -- Chapter 2. The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric -- Chapter 3. The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric -- Chapter 4. Contractible systems -- Chapter 5. Properties of standard contractible systems -- Chapter 6. Elementary Reinhardt domains -- Chapter 7. Symmetrized polydisc -- Chapter 8. Non-standard contractible systems -- Chapter 9. Contractible functions and metrics for the annulus -- Chapter 10. Elementary n-circled domains III -- Chapter 11. Complex geodesics. Lempert's theorem -- Chapter 12. The Bergman metric -- Chapter 13. Hyperbolicity -- Chapter 14. Completeness -- Chapter 15. Bergman completeness -- Chapter 16. Complex geodesics - effective examples -- Chapter 17. Analytic discs method -- Chapter 18. Product property -- Chapter 19. Comparison on pseudoconvex domains -- Chapter 20. Boundary behavior of invariant functions and metrics on general domains -- Appendix A. Miscellanea -- Appendix B. Addendum -- Appendix C. List of problems -- Bibliography -- List of symbols -- Index
Frontmatter -- Preface to the second edition -- Preface to the first edition -- Contents -- Chapter 1. Hyperbolic geometry of the unit disc -- Chapter 2. The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric -- Chapter 3. The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric -- Chapter 4. Contractible systems -- Chapter 5. Properties of standard contractible systems -- Chapter 6. Elementary Reinhardt domains -- Chapter 7. Symmetrized polydisc -- Chapter 8. Non-standard contractible systems -- Chapter 9. Contractible functions and metrics for the annulus -- Chapter 10. Elementary n-circled domains III -- Chapter 11. Complex geodesics. Lempert's theorem -- Chapter 12. The Bergman metric -- Chapter 13. Hyperbolicity -- Chapter 14. Completeness -- Chapter 15. Bergman completeness -- Chapter 16. Complex geodesics - effective examples -- Chapter 17. Analytic discs method -- Chapter 18. Product property -- Chapter 19. Comparison on pseudoconvex domains -- Chapter 20. Boundary behavior of invariant functions and metrics on general domains -- Appendix A. Miscellanea -- Appendix B. Addendum -- Appendix C. List of problems -- Bibliography -- List of symbols -- Index
Ausgabe: 2nd ext. ed.
Gesamtaufnahme:
Schlagworte:
Buchumschlag
Gespeichert in: