Linearization Models for Complex Dynamical Systems (eBook, PDF) von Mark Elin; David Shoikhet

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.

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Verlag: Springer Basel
Seitenzahl: 268
Erscheinungstermin: 9. Februar 2011
Englisch
ISBN-13: 9783034605090
Artikelnr.: 37353315

From the reviews:

"This book is devoted to a systematic and detailed survey and treatment of linearization models for one-parameter continuous semigroups, functional equations, different classes of univalent functions which serve intertwining mappings for these semigroups, and their applications to various problems of complex dynamics. The book is aimed at researches in the field of Nonlinear Dynamics. ... This well-written book is a good-organized research monograph in the field of Complex Dynamical Systems. It can be highly recommended for experts in Functional Analysis and Dynamical Systems." (Igor Andrianov, Zentralblatt MATH, Vol. 1198, 2010)

"This monograph represents a systematic survey of the topic. All the results ... are accompanied by detailed proofs. The book is definitely useful for specialists in geometric function theory and operator theory. It is accessible and should be of interest to mathematicians and students familiar with the standard university course of complex analysis." (Pavel A. Gumenuk, Mathematical Reviews, Issue 2012 c)