|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910825489503321 |
|
|
Autore |
Jarnicki Marek |
|
|
Titolo |
Invariant distances and metrics in complex analysis / / Marek Jarnicki, Peter Pflug |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin ; ; Boston : , : De Gruyter, , [2013] |
|
©2013 |
|
|
|
|
|
|
|
|
|
Edizione |
[Second extended edition.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (880 p.) |
|
|
|
|
|
|
Collana |
|
De Gruyter Expositions in Mathematics ; ; 9 |
De Gruyter expositions in mathematics, , 0938-6572 ; ; 9 |
|
|
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Functions of complex variables |
Invariants |
Metric spaces |
Pseudodistances |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (pages 814-843) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Front matter -- 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 -- |
|
|
|
|