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, Schröder’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.
Important step towards establishing a bridge between nonlinear semigroup theory, functional and differential equations and geometric function theorySelf-contained presentation with a complete account of definitions, proofs and references Presentation of relevant prerequisites from iteration theory, fixed point theory and univalent functions