Holomorphic maps and invariant distances / Tullio Franzoni and Edoardo Vesentini.
Series: North-Holland mathematics studies ; 40. | Notas de matemática (Rio de Janeiro, Brazil) ; no. 69.1980Description: 1 online resource (viii, 226 pages)Content type:- text
- computer
- online resource
- 9780444854360
- 0444854363
- 9780080871516
- 0080871518
- Banach spaces
- Holomorphic mappings
- Domains of holomorphy
- Distance geometry
- Banach, Espaces de
- Applications holomorphes
- Domaines d'holomorphie
- Distances métriques
- MATHEMATICS -- Transformations
- Banach spaces
- Distance geometry
- Domains of holomorphy
- Holomorphic mappings
- Holomorfe functies
- Banachruimten
- QA1 .N86 no. 69eb

"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 (pages 211-223) and index.
Print version record.
Front Cover; Holomorphic Maps and Invariant Distances; Copyright Page; Preface; Table of Contents; CHAPTER I. POLYNOMIALS AND POWER SERIES; CHAPTER II. HOLOMORPHIC FUNCTIONS; CHAPTER III. MAXIMUM PRINCIPLES; CHAPTER IV. INVARIANT PSEUDODISTANCES; CHAPTER V. INVARIANT DIFFERENTIAL METRICS; CHAPTER VI. THE UNIT BALL IN A COMPLEX HILBERT SPACE; Appendix A: The Poincaré Metric; Appendix B: Baire Spaces; References; Subject and Symbols Index.
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