Invariant Distances and Metrics in Complex Analysis / / Marek Jarnicki, Peter Pflug.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• VerfasserIn: Jarnicki, Marek,; Pflug, Peter,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2013]; ©2013
• Year of Publication: 2013
• Edition: 2nd ext. ed.
• Language: English
• Series: De Gruyter Expositions in Mathematics , 9
• Physical Description: 1 online resource (861 p.)

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 o...

Table of Contents

• 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