| Edition |
2nd extended edition. |
| Description |
1 online resource (xvii, 861 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
De Gruyter Expositions in Mathematics ; 9
|
|
De Gruyter expositions in mathematics ; 9.
|
| Summary |
As in the field of ""Invariant Distances and Metrics in Complex Analysis"" there was and is a continuous progress this is the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other met. |
| Bibliography |
Includes bibliographical references (pages 814-843) and index. |
| Contents |
Hyperbolic geometry of the unit disc -- The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric -- The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric -- Contractible systems -- Properties of standard contractible systems -- Elementary Reinhardt domains -- Symmetrized polydisc -- Non-standard contractible systems -- Contractible functions and metrics for the annulus -- Elementary n-circled domains III -- Complex geodesics. Lempert's theorem -- The Bergman metric -- Hyperbolicity -- Completeness -- Bergman completeness -- Complex geodesics-effective examples -- Analytic discs method -- Product property -- Comparison on pseudoconvex domains -- Boundary behavior of invariant functions and metrics on general domains -- Miscellanea -- Addendum -- List of problems -- Bibliography -- List of symbols -- Index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Metric spaces.
|
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Metric spaces. |
|
Pseudodistances.
|
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Pseudodistances. |
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Invariants.
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|
Invariants. |
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Functions of complex variables.
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Functions of complex variables. |
| Genre/Form |
Electronic books.
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Electronic books.
|
| Added Author |
Pflug, Peter, 1943- author.
|
| Other Form: |
Print version: Jarnicki, Marek. Invariant distances and metrics in complex analysis. 2nd extended edition. Berlin : De Gruyter, [2013] 9783110250435 (DLC) 2013014012 (OCoLC)842337377 |
| ISBN |
9783110253863 (electronic book) |
|
3110253860 (electronic book) |
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9783110250435 (acid-free paper) |
|
3110250438 (acid-free paper) |
|
3110253860 |
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9783112188309 (set) |
|
