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Invariant distances and metrics in complex analysis / (1993)

Jarnicki, Marek 1952- ; Pflug, Peter

Berlin u.a. :de Gruyter,

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almafu_BV007466681

Umfang: XI, 408 S. : Ill.

ISBN: 3-11-013251-6

Serie: De Gruyter expositions in mathematics 9

Sprache: Englisch

Fachgebiete: Mathematik

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SK 280

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SK 780

Schlagwort(e): Komplexe Funktion ; Pseudoabstand ; Invariante ; Metrischer Raum ; Funktionentheorie ; Pseudoabstand ; Invariante ; Metrischer Raum ; Pseudometrik ; Metrischer Raum ; Komplexe Funktion ; Pseudoabstand ; Invariante ; Metrischer Raum

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004847173&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

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Invariant distances and metrics in complex analysis (1993)

Jarnicki, Marek ; Pflug, Peter 1943- ; ebrary, Inc

Berlin ;New York : Walter de Gruyter

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almahu_9947360001702882

Umfang: Online-Ressource (xi, 408 p) , ill

Ausgabe: Online-Ausg. Palo Alto, Calif ebrary 2011 Electronic reproduction; Available via World Wide Web

ISBN: 3110132516 (acid-free paper) , 9783110132519 (acid-free paper) , 9783110870312

Serie: De Gruyter expositions in mathematics 9

Inhalt: Invariant Distances and Metrics in Complex Analysis

Anmerkung: Includes bibliographical references (p. [387]-399) and index , 3.4 An extension theorem3.5 The Kobayashi-Royden pseudometric; 3.6 The Kobayashi-Buseman pseudometric; 3.7 Product-formula; Notes; Exercises; IV Contractible systems; 4.1 Abstract point of view; 4.2 Extremal problems for plurisubharmonic functions; 4.3 Inner pseudodistances. Integrated forms. Derivatives. Buseman pseudometrics. C1-pseudodistances; 4.4 Example - elementary n-circled domains; Notes; Exercises; V Contractible functions and metrics for the annulus; Notes; Exercises; VI The Bergman metric; 6.1 The Bergman kernel; 6.2 The Bergman pseudometric; 6.3 Comparison and localization. , 6.4 The Skwarczyński pseudometricNotes; Exercises; VII Hyperbolicity and completeness; 7.1 Global hyperbolicity; 7.2 Local hyperbolicity; 7.3 Completeness - general discussion; 7.4 Carathéodory completeness; 7.5 Kobayashi completeness; 7.6 Bergman completeness; Notes; Exercises; VIII Complex geodesics. Lempert's theorem; 8.1 Complex geodesics; 8.2 Lempert's theorem; 8.3 Uniqueness of complex geodesies; 8.4 Geodesics in convex complex ellipsoids; 8.5 Biholomorphisms of complex ellipsoids; 8.6 Schwarz Lemma - the case of equality; 8.7 Criteria for biholomorphicity; Notes; Exercises. , E Boundary behavior of contractible metrics on weakly pseudoconvex domainsAppendix; HF Holomorphic functions; PSH Subharmonic and plurisubharmonic functions; PSC Domains of holomorphy and pseudoconvex domains; AUT Automorphisms; Automorphisms of the unit disc; Automorphisms of the unit polydisc; Automorphisms of the unit Euclidean ball; GR Green function and Dirichlet problem; MA Monge-Ampère operator; H Hardy spaces; References; List of symbols; Index. , IX Product-propertyExercises; X Comparison on strongly pseudoconvex domains; 10.1 Strongly pseudoconvex domains; 10.2 The boundary behavior of the Carathéodory and the Kobayashi distances; 10.3 Localization; 10.4 Boundary behavior of the Carathéodory-Reiffen and the Kobayashi-Royden metrics; 10.5 A comparison of distances; 10.6 Characterization of the unit ball by its automorphism group; Notes; Exercises; Miscellanea; A The automorphism group of bounded domains; B Holomorphic curvature; C Complex geodesics; D Criteria for biholomorphicity. , Preface; I Hyperbolic geometry of the unit disc; Exercises; II The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric; 2.1 Definitions. General Schwarz-Pick Lemma; 2.2 Balanced domains; 2.3 Carathéodory hyperbolicity; 2.4 The Carathéodory topology; 2.5 Properties of c(*)and γ. Length of curve. Inner Carathéodory pseudodistance; 2.6 Two applications; 2.7 A class of n-circled domains; Notes; Exercises; III 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.

Sprache: Englisch

DOI: 10.1515/9783110870312

URL: http://www.degruyter.com/doi/book/10.1515/9783110870312

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Invariant distances and metrics in complex analysis / (1993)

Jarnicki, Marek. ; Pflug, Peter, 1943-

Berlin ; : Walter de Gruyter,

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almafu_9961987523402883

Umfang: 1 online resource (420 p.)

Ausgabe: Reprint 2011

ISBN: 9783110870312 , 3110870312

Serie: De Gruyter expositions in mathematics,

Inhalt: Invariant Distances and Metrics in Complex Analysis

Anmerkung: Description based upon print version of record. , Front matter -- , I Hyperbolic geometry of the unit disc -- , II The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric -- , III The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric -- , IV Contractible systems -- , V Contractible functions and metrics for the annulus -- , VI The Bergman metric -- , VII Hyperbolicity and completeness -- , VIII Complex geodesics. Lempert's theorem -- , IX Product-property -- , X Comparison on strongly pseudoconvex domains -- , Miscellanea -- , Appendix -- , References -- , List of symbols -- , Index , Issued also in print. , English

Weitere Ausg.: ISBN 9783110132519

Weitere Ausg.: ISBN 3110132516

Sprache: Englisch

Fachgebiete: Mathematik

RVK:

SK 750

DOI: 10.1515/9783110870312

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Invariant distances and metrics in complex analysis (1993)

Jarnicki, Marek. ; Pflug, Peter, 1943- ; ProQuest 〈Firm〉

Berlin ; : Walter de Gruyter,

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almahu_9948316697602882

Umfang: xi, 408 p. : , ill.

Ausgabe: Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

Serie: De Gruyter expositions in mathematics,

Sprache: Englisch

Schlagwort(e): Electronic books.

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Invariant Distances and Metrics in Complex Analysis / (2011)

Jarnicki, Marek, ; Pflug, Peter,

Berlin ; : De Gruyter,

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UID:

almahu_9949461111202882

Umfang: 1 online resource (408 p.) : , Num. figs.

Ausgabe: Reprint 2011

ISBN: 9783110870312 , 9783110494969

Serie: De Gruyter Expositions in Mathematics , 9

Anmerkung: Frontmatter -- , I Hyperbolic geometry of the unit disc -- , II The Carathéodory pseudodistance and the Carathéodory-Reiffen pseudometric -- , III The Kobayashi pseudodistance and the Kobayashi-Royden pseudometric -- , IV Contractible systems -- , V Contractible functions and metrics for the annulus -- , VI The Bergman metric -- , VII Hyperbolicity and completeness -- , VIII Complex geodesics. Lempert's theorem -- , IX Product-property -- , X Comparison on strongly pseudoconvex domains -- , Miscellanea -- , Appendix -- , References -- , List of symbols -- , Index , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DG Expositions in Mathematics Backlist eBook Package, De Gruyter, 9783110494969

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957

Weitere Ausg.: ISBN 9783110132519

Sprache: Englisch

Fachgebiete: Mathematik

RVK:

SK 750

DOI: 10.1515/9783110870312

URL: https://doi.org/10.1515/9783110870312

URL: https://www.degruyter.com/isbn/9783110870312

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