Linearization Models for Complex Dynamical Systems
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schroder's and Abel's functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the s…
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- Full title :Linearization Models for Complex Dynamical Systems.
Summary
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schroder's and Abel's functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Read More ↓Edition Statements
- Publication Date:2010.
Publication Statements
- Publisher(s):Birkhäuser Basel
- Place of Publication:Basel
- Language:eng
- Publication Date:2010.
The Physical Object
- Description:1 online resource (270 pages).
Edition Identifiers
- ISBN:3034605080, 9783034605083
- DOI:10.1007/978-3-0346-0509-0
- oclc:ocn990547868
- LC Classification:QA279 .E424 2010
- Dewey Decimal:515.39
Table of Contents
Title Page; Copyright Page; Table of Contents; Preface; Chapter 1 Geometric Background; Chapter 2 Dynamic Approach; Chapter 3 Starlike Functions with Respect to a Boundary Point; Chapter 4 Spirallike Functions with Respect to a Boundary Point; Chapter 5 Koenigs Type Starlike and Spirallike Functions; Chapter 6 Rigidity of Holomorphic Mappings and Commuting Semigroups; Chapter 7 Asymptotic Behavior of One-parameter Semigroups; Chapter 8 Backward Flow Invariant Domains for Semigroups; Chapter 9 Appendices; Bibliography; Subject Index; Author Index; Symbols; List of Figures.
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