Verfügbarkeit: Invariant distances and metrics in complex analysis /

Invariant distances and metrics in complex analysis /:

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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Hauptverfasser:	Jarnicki, Marek (VerfasserIn), Pflug, Peter, 1943- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin : De Gruyter, 2013. ©2013
Ausgabe:	2nd extended edition.
Schriftenreihe:	De Gruyter expositions in mathematics ; 9.
Schlagworte:	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 Function of Complex Variables. Invariant. Metric Space. Pseudodistance.
Online-Zugang:	Volltext
Zusammenfassung:	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
Beschreibung:	1 online resource (xvii, 861 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 814-843) and index.
ISBN:	9783110253863 3110253860 9783110250435 3110250438

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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.
650		0	\|a Metric spaces. \|0 http://id.loc.gov/authorities/subjects/sh85084441
650		0	\|a Pseudodistances. \|0 http://id.loc.gov/authorities/subjects/sh93002333
650		0	\|a Invariants. \|0 http://id.loc.gov/authorities/subjects/sh85067665
650		0	\|a Functions of complex variables. \|0 http://id.loc.gov/authorities/subjects/sh85052356
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
653			\|a Function of Complex Variables.
653			\|a Invariant.
653			\|a Metric Space.
653			\|a Pseudodistance.
700	1		\|a Pflug, Peter, \|d 1943- \|e author. \|0 http://id.loc.gov/authorities/names/n93031964
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
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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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Datensatz im Suchindex

DE-BY-FWS_katkey	ZDB-4-EBA-ocn858762163
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any_adam_object
author	Jarnicki, Marek Pflug, Peter, 1943-
author_GND	http://id.loc.gov/authorities/names/n93031964
author_facet	Jarnicki, Marek Pflug, Peter, 1943-
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author_sort	Jarnicki, Marek
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callnumber-search	QA611.28 .J37 2013
callnumber-sort	QA 3611.28 J37 42013
callnumber-subject	QA - Mathematics
classification_rvk	SK 280
collection	ZDB-4-EBA
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.
ctrlnum	(OCoLC)858762163
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	514 - Topology
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dewey-search	514.325
dewey-sort	3514.325
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2nd extended edition.
format	Electronic eBook
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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. 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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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Metric spaces.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85084441</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Pseudodistances.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh93002333</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Invariants.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85067665</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Functions of complex variables.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85052356</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Espaces métriques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Pseudodistances.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Invariants.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Fonctions d'une variable complexe.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Topology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functions of complex variables</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Invariants</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Metric spaces</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pseudodistances</subfield><subfield code="2">fast</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function of Complex Variables.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Invariant.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metric Space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pseudodistance.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pflug, Peter,</subfield><subfield code="d">1943-</subfield><subfield code="e">author.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n93031964</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Jarnicki, Marek.</subfield><subfield code="t">Invariant distances and metrics in complex analysis.</subfield><subfield code="b">2nd extended edition.</subfield><subfield code="d">Berlin : De Gruyter, [2013]</subfield><subfield code="z">9783110250435</subfield><subfield code="w">(DLC) 2013014012</subfield><subfield code="w">(OCoLC)842337377</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">De Gruyter expositions in mathematics ;</subfield><subfield code="v">9.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n90653843</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641890</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="880" ind1="8" ind2=" "><subfield code="6">505-00/(S</subfield><subfield code="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</subfield></datafield><datafield tag="880" ind1="8" ind2=" "><subfield code="6">505-00/(S</subfield><subfield code="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</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">De Gruyter</subfield><subfield code="b">DEGR</subfield><subfield code="n">9783110253863</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1130376</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10786107</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">641890</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis24871514</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10817417</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH25310841</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection>
id	ZDB-4-EBA-ocn858762163
illustrated	Illustrated
indexdate	2024-11-27T13:25:32Z
institution	BVB
isbn	9783110253863 3110253860 9783110250435 3110250438
language	English
lccn	2013014012
oclc_num	858762163
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owner	MAIN DE-863 DE-BY-FWS
owner_facet	MAIN DE-863 DE-BY-FWS
physical	1 online resource (xvii, 861 pages) : illustrations
psigel	ZDB-4-EBA
publishDate	2013
publishDateSearch	2013
publishDateSort	2013
publisher	De Gruyter,
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series	De Gruyter expositions in mathematics ;
series2	De Gruyter Expositions in Mathematics ;
spelling	Jarnicki, Marek, author. Invariant distances and metrics in complex analysis / Marek Jarnicki, Peter Pflug. 2nd extended edition. Berlin : De Gruyter, 2013. ©2013 1 online resource (xvii, 861 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier PDF text file De Gruyter Expositions in Mathematics ; 9 Print version record. 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 Includes bibliographical references (pages 814-843) and index. 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. In English. Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Pseudodistances. http://id.loc.gov/authorities/subjects/sh93002333 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Espaces métriques. Pseudodistances. Invariants. Fonctions d'une variable complexe. MATHEMATICS Topology. bisacsh Functions of complex variables fast Invariants fast Metric spaces fast Pseudodistances fast Function of Complex Variables. Invariant. Metric Space. Pseudodistance. Pflug, Peter, 1943- author. http://id.loc.gov/authorities/names/n93031964 Print version: Jarnicki, Marek. Invariant distances and metrics in complex analysis. 2nd extended edition. Berlin : De Gruyter, [2013] 9783110250435 (DLC) 2013014012 (OCoLC)842337377 De Gruyter expositions in mathematics ; 9. http://id.loc.gov/authorities/names/n90653843 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641890 Volltext 505-00/(S 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 505-00/(S 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
spellingShingle	Jarnicki, Marek Pflug, Peter, 1943- Invariant distances and metrics in complex analysis / De Gruyter expositions in mathematics ; 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. Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Pseudodistances. http://id.loc.gov/authorities/subjects/sh93002333 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Espaces métriques. Pseudodistances. Invariants. Fonctions d'une variable complexe. MATHEMATICS Topology. bisacsh Functions of complex variables fast Invariants fast Metric spaces fast Pseudodistances fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85084441 http://id.loc.gov/authorities/subjects/sh93002333 http://id.loc.gov/authorities/subjects/sh85067665 http://id.loc.gov/authorities/subjects/sh85052356
title	Invariant distances and metrics in complex analysis /
title_auth	Invariant distances and metrics in complex analysis /
title_exact_search	Invariant distances and metrics in complex analysis /
title_full	Invariant distances and metrics in complex analysis / Marek Jarnicki, Peter Pflug.
title_fullStr	Invariant distances and metrics in complex analysis / Marek Jarnicki, Peter Pflug.
title_full_unstemmed	Invariant distances and metrics in complex analysis / Marek Jarnicki, Peter Pflug.
title_short	Invariant distances and metrics in complex analysis /
title_sort	invariant distances and metrics in complex analysis
topic	Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Pseudodistances. http://id.loc.gov/authorities/subjects/sh93002333 Invariants. http://id.loc.gov/authorities/subjects/sh85067665 Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Espaces métriques. Pseudodistances. Invariants. Fonctions d'une variable complexe. MATHEMATICS Topology. bisacsh Functions of complex variables fast Invariants fast Metric spaces fast Pseudodistances fast
topic_facet	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
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641890
work_keys_str_mv	AT jarnickimarek invariantdistancesandmetricsincomplexanalysis AT pflugpeter invariantdistancesandmetricsincomplexanalysis

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