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
Tabla de Contenidos:
  • 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.

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