Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc

Bracci, Filippo, Contreras, Manuel D., Díaz-Madrigal, Santiago

Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc
  • 出版商: Springer
  • 出版日期: 2021-02-15
  • 售價: $6,290
  • 貴賓價: 9.5 折 $5,976
  • 語言: 英文
  • 頁數: 566
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3030367843
  • ISBN-13: 9783030367848

    • 海外代購書籍(需單獨結帳)

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商品描述

Part I: Preliminaries.- 1 Hyperbolic geometry and interation.- 2. Holomorphic functions with non-negative real part.- 3. Univalent functions.- 4. Carathéodory's prime ends theory.- 5. Hyperbolic geometry in simply connected domains.- 6. Quasi-geodesics and localization.- 7. Harmonic measures and Bloch functions.- Part II: Semigroups.- 8 Semigroups of holomorphic functions.- 9 Models and Koenigs functions.- 10 Infinitesimal generators.- 11 Extension to the boundary.- 12 Boundary fixed points and infinitesimal generators.- 13 Fixed points, backward invariant sets and petals.- 14 Contact points.- 15 Poles of the infinitesimal generators.- 16 Rate of convergence at the Denjoy-Wolffpoint.- 17 Slopes of orbits at the Denjoy-Wolffpoint.- 18 Topological invariants

作者簡介

Prof. Filippo Bracci obtained his PhD in Mathematics at the University of Padova in 2001. He is full professor at the University of Rome Tor Vergata since 2007. He was the principal investigator of the ERC project "HEVO". His research interests include complex analysis, several complex variables and holomorphic dynamics.

Prof. Manuel D. Contreras obtained his Ph.D. in Mathematics at the Universidad de Granada in 1993. He is full professor at Departamento de Matemática Aplicada II of the Universidad de Sevilla. His main research interests are complex analysis, geometric function theory, holomorphic dynamics, spaces of analytic functions and operators acting on them.

Prof. Santiago Díaz-Madrigal obtained his Ph.D. in Mathematics at the Universidad de Sevilla in 1990. He is a full professor at Universidad de Sevilla in the department of Matemática Aplicada II since 1998. His current research interests include complex analysis, dynamical systems and probability and, especially, those areas where these topics interact with each other.

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