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The Resource Invariant distances and metrics in complex analysis, Marek Jarnicki, Peter Pflug

Invariant distances and metrics in complex analysis, Marek Jarnicki, Peter Pflug

Creator
Contributor
Summary
"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 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 metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables." -- Publisher website
Language
eng
Work
Publication
Edition
2nd extended edition.
Extent
xvii, 861 pages
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
Isbn
9783110250435
Instance
Label
Invariant distances and metrics in complex analysis
Title
Invariant distances and metrics in complex analysis
Statement of responsibility
Marek Jarnicki, Peter Pflug
Creator
Contributor
Subject
Language
eng
Summary
"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 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 metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables." -- Publisher website
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Jarnicki, Marek
Dewey number
514/.325
Illustrations
illustrations
Index
index present
LC call number
QA611.28
LC item number
.J37 2013
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1943-
http://library.link/vocab/relatedWorkOrContributorName
Pflug, Peter
Series statement
De Gruyter expositions in mathematics,
Series volume
9
http://library.link/vocab/subjectName
  • Metric spaces
  • Pseudodistances
  • Invariants
  • Functions of complex variables
  • Funktionentheorie
  • Metrischer Raum
  • Invariante
  • Komplexe Funktion
  • Pseudoabstand
Label
Invariant distances and metrics in complex analysis, Marek Jarnicki, Peter Pflug
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 814-843) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
842337377
Dimensions
25 cm
Edition
2nd extended edition.
Extent
xvii, 861 pages
Isbn
9783110250435
Isbn Type
(acid-free paper)
Lccn
2013014012
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)842337377
Label
Invariant distances and metrics in complex analysis, Marek Jarnicki, Peter Pflug
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 814-843) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
842337377
Dimensions
25 cm
Edition
2nd extended edition.
Extent
xvii, 861 pages
Isbn
9783110250435
Isbn Type
(acid-free paper)
Lccn
2013014012
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)842337377

Subject

Member of

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537

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