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OverviewLinearization 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 DetailsAuthor: Mark Elin , David ShoikhetPublisher: 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: 9783034605083ISBN 10: 3034605080 Pages: 268 Publication Date: 27 May 2010 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() 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 ContentsGeometric 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.ReviewsFrom 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |