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Holomorphic maps and invariant distances (1980)

Franzoni, Tullio [Sonstige] ; Vesentini, Edoardo [Sonstige] 1928-2020

Amsterdam ; New York : North-Holland Pub. Co | Sole distributors for the U.S.A. and Canada, Elsevier North-Holland

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UID:

b3kat_BV036962535

Format: 1 Online-Ressource (viii, 226 p.) , 24 cm

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

ISBN: 0444854363 , 9780444854360

Series Statement: North-Holland mathematics studies 40

Note: "These notes originate from lectures given at the University of Maryland and at the Scuola normale superiore, Pisa, in the past two years. - Includes bibliographical references (p. 211-223) and index

Additional Edition: Reproduktion von Holomorphic maps and invariant distances 1980

Language: English

Subjects: Mathematics

RVK:

SK 600

Keywords: Invariante Metrik ; Banach-Raum ; Holomorphe Abbildung ; Banach-Raum ; Holomorphiegebiet ; Banach-Raum ; Holomorphe Abbildung ; Abstandsgeometrie ; Geometrie

URL: Volltext

URL: Volltext (Deutschlandweit zugänglich)

Author information: Vesentini, Edoardo 1928-2020

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Holomorphic maps and invariant distances / (1980)

Franzoni, Tullio, 1944- ; Vesentini, Edoardo.

Amsterdam ; : North-Holland Pub. Co. :

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UID:

almahu_9947367853102882

Format: 1 online resource (235 p.)

ISBN: 1-281-79709-X , 9786611797096 , 0-08-087151-8

Series Statement: North-Holland mathematics studies ; 40

Content: Holomorphic maps and invariant distances

Note: "These notes originate from lectures given at the University of Maryland and at the Scuola normale superiore, Pisa, in the past two years." , Front Cover; Holomorphic Maps and Invariant Distances; Copyright Page; Table of Contents; Preface; CHAPTER I. POLYNOMIALS AND POWER SERIES; 1. Multilinear maps and polynomials; 2. Convergent power series; Notes; CHAPTER II. HOLOMORPHIC FUNCTIONS; 1. Holomorphic functions; 2. The inverse mapping theorem; 3. Taylor expansion; 4. Gateaux holomorphy; 5. The Zorn theorem; 6. Plurisubharmonic and plurisuperharmonic functions; Notes; CHAPTER III. MAXIMUM PRINCIPLES; 1. A strong maximum principle; 2. A Schwarz lemma; Notes; CHAPTER IV. INVARIANT PSEUDODISTANCES , 1. The Kobayashi and Carathéodory pseudodistances 2. Hyperbolic domains; 3. Local uniform convergence; Notes; CHAPTER V. INVARIANT DIFFERENTIAL METRICS; 1. The Kobayashi and Carathéodory differential metrics; 2. Local properties; 3. Inner distances; 4. The Kobayashi metric and the Kobayashi distance; 5. Application. A fixed point theorem; 6. Bounded domains in finitely dimensional vector spaces; Notes; CHAPTER VI. THE UNIT BALL IN A COMPLEX HILBERT SPACE; 1. Automorphisms of the unit ball; 2. Invariant distances and invariant metrics , 3. A linear representation of Aut(B) 4. Holomorphic isometries and their fixed points; Notes; Appendix A: The Poincaré Metric; Appendix B: Baire Spaces; References; Subject and Symbols Index , English

Additional Edition: ISBN 0-444-85436-3

Language: English

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Holomorphic maps and invariant distances (1980)

Franzoni, Tullio ; Vesentini, Edoardo 1928-2020

Amsterdam [u.a.] : North-Holland Publ. Co.

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UID:

gbv_023629290

Format: VIII, 226 S. , graph. Darst.

ISBN: 0444854363

Series Statement: Notas de matemática 69

Note: Literaturverz. S. 211 - 223

Additional Edition: Erscheint auch als Online-Ausgabe Franzoni, Tullio, - 1944- Holomorphic maps and invariant distances Amsterdam : North-Holland Pub. Co, 1980 ISBN 0444854363

Additional Edition: ISBN 9780444854360

Language: English

Subjects: Mathematics

RVK:

SK 600

Keywords: Holomorphe Abbildung ; Abstandsgeometrie

URL: Inhaltsverzeichnis

Author information: Vesentini, Edoardo 1928-2020

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Holomorphic maps and invariant distances (1980)

Franzoni, Tullio [Verfasser] ; Vesentini, Edoardo [Verfasser] 1928-2020

Amsterdam u.a. : North-Holland Publ.

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UID:

b3kat_BV002261606

Format: VIII, 226 S.

ISBN: 0444854363

Series Statement: North-Holland mathematics studies 40

Language: English

Subjects: Mathematics

RVK:

SK 600

Keywords: Invariante Metrik ; Banach-Raum ; Holomorphe Abbildung ; Banach-Raum ; Holomorphiegebiet ; Banach-Raum ; Holomorphe Abbildung ; Abstandsgeometrie ; Geometrie

Author information: Vesentini, Edoardo 1928-2020

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Holomorphic maps and invariant distances / (1980)

Franzoni, Tullio ; Vesentini, Edoardo 1928-2020

Amsterdam [u.a.] :North-Holland Publishing Company,

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Details

UID:

almafu_BV022078296

Format: VIII, 226 Seiten.

ISBN: 0-444-85436-3

Series Statement: North-Holland Mathematics Studies 40

Language: English

Subjects: Mathematics

RVK:

SK 600

RVK:

SK 700

Keywords: Holomorphe Abbildung ; Banach-Raum ; Invariante Metrik ; Banach-Raum ; Holomorphiegebiet ; Banach-Raum ; Holomorphe Abbildung ; Abstandsgeometrie ; Geometrie

Author information: Vesentini, Edoardo 1928-2020

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