Invariant distances and metrics in complex analysis /

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jarnicki, Marek (Autor), Pflug, Peter, 1943- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : De Gruyter, 2013.
©2013
Edición:2nd extended edition.
Colección:De Gruyter expositions in mathematics ; 9.
Temas:
Metric spaces.
Pseudodistances.
Invariants.
Functions of complex variables.
Espaces métriques.
Fonctions d'une variable complexe.
MATHEMATICS > Topology.
Functions of complex variables
Invariants
Metric spaces
Pseudodistances
Acceso en línea:Texto completo

MARC

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245 1 0 |a Invariant distances and metrics in complex analysis /  |c Marek Jarnicki, Peter Pflug. 
250 |a 2nd extended edition. 
260 |a Berlin :  |b De Gruyter,  |c 2013. 
264 4 |c ©2013 
300 |a 1 online resource (xvii, 861 pages) :  |b illustrations 
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490 1 |a De Gruyter Expositions in Mathematics ;  |v 9 
588 0 |a Print version record. 
520 |a 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 
504 |a Includes bibliographical references (pages 814-843) and index. 
505 0 |a 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. 
546 |a In English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Metric spaces. 
650 0 |a Pseudodistances. 
650 0 |a Invariants. 
650 0 |a Functions of complex variables. 
650 6 |a Espaces métriques. 
650 6 |a Pseudodistances. 
650 6 |a Invariants. 
650 6 |a Fonctions d'une variable complexe. 
650 7 |a MATHEMATICS  |x Topology.  |2 bisacsh 
650 7 |a Functions of complex variables  |2 fast 
650 7 |a Invariants  |2 fast 
650 7 |a Metric spaces  |2 fast 
650 7 |a Pseudodistances  |2 fast 
700 1 |a Pflug, Peter,  |d 1943-  |e author. 
758 |i has work:  |a Invariant distances and metrics in complex analysis (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFG7M8YwmpfkjCrm8c3TXm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Jarnicki, Marek.  |t Invariant distances and metrics in complex analysis.  |b 2nd extended edition.  |d Berlin : De Gruyter, [2013]  |z 9783110250435  |w (DLC) 2013014012  |w (OCoLC)842337377 
830 0 |a De Gruyter expositions in mathematics ;  |v 9. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1130376  |z Texto completo 
880 8 |6 505-00/(S  |a 2.6 The Carathéodory topology2.7 Properties of c(*) and γ. Length of curve. Inner Carathéodory pseudodistance; 2.8 ci -hyperbolicity versus c-hyperbolicity; 2.9 Two applications; 2.10 A class of n-circled domains; 2.11 Neile parabola; 2.12 Exercises; 2.13 List of problems; 3 The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric; 3.1 The Lempert function and the Kobayashi pseudodistance; 3.2 Tautness; 3.3 General properties of k; 3.4 An extension theorem; 3.5 The Kobayashi-Royden pseudometric; 3.6 The Kobayashi-Buseman pseudometric; 3.7 Product formula 
880 8 |6 505-00/(S  |a 5 Properties of standard contractible systems5.1 Regularity properties of gG and AG; 5.2 Lipschitz continuity of l*, κ, g, and A; 5.3 Derivatives; 5.4 List of problems; 6 Elementary Reinhardt domains; 6.1 Elementary n-circled domains; 6.2 General point of view; 6.3 Elementary n-circled domains II; 6.4 Exercises; 6.5 List of problems; 7 Symmetrized polydisc; 7.1 Symmetrized bidisc; 7.2 Symmetrized polydisc; 7.3 List of problems; 8 Non-standard contractible systems; 8.1 Hahn function and pseudometric; 8.2 Generalized Green, Möbius, and Lempert functions; 8.3 Wu pseudometric; 8.4 Exercises 
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