Linearization Models for Complex Dynamical Systems Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin /

• Main Authors: Shoikhet, David (Author), Elin, Mark (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2010.
• Series: Operator Theory: Advances and Applications ; 208
• Subjects: Mathematics.; Difference equations.; Functional equations.; Dynamics.; Ergodic theory.; Functions of complex variables.; System theory.; Dynamical Systems and Ergodic Theory.; Functions of a Complex Variable.; Systems Theory, Control.; Difference and Functional Equations.

This book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics students to active researchers, it offers extensive coverage of recent advances...

Table of Contents:

• Geometric Background
• Dynamic Approach
• Starlike Functions with Respect to a Boundary Point
• Spirallike Functions with Respect to a Boundary Point
• Kœnigs Type Starlike and Spirallike Functions
• Rigidity of Holomorphic Mappings and Commuting Semigroups
• Asymptotic Behavior of One-parameter Semigroups
• Backward Flow Invariant Domains for Semigroups
• Appendices.