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

Author:   Mark Elin ,  David Shoikhet
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2010
Volume:   208
ISBN:  

9783034605083


Pages:   268
Publication Date:   27 May 2010
Format:   Hardback
Availability:   In Print   Availability explained
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Linearization Models for Complex Dynamical Systems: Topics in Univalent Functions, Functional Equations and Semigroup Theory


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Overview

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.

Full Product Details

Author:   Mark Elin ,  David Shoikhet
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2010
Volume:   208
Dimensions:   Width: 16.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.675kg
ISBN:  

9783034605083


ISBN 10:   3034605080
Pages:   268
Publication Date:   27 May 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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.

Reviews

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)


"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)"


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)


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