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Catalogue Information
Field name	Details
Dewey Class	515.39 (DDC 23)
Title	Linearization Models for Complex Dynamical Systems ([Ebook]) : Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin / by David Shoikhet, Mark Elin.
Author	Shoikhet, David
Added Personal Name	Elin, Mark
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2010.
Physical Details	XII, 268 pages : online resource.
Series	Operator theory : advances and applications ; 208
ISBN	9783034605090
Summary Note	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 in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment of continuous time semigroups, about which little has been previously known, emphasizing the use of generation theory for continuous dynamical systems. Such semigroups have important applications in such areas as composition operators, Markov stochastic processes, control theory and optimization. Readers will find in this book a systematic and detailed survey of linearization models for one-parameter continuous semigroups, functional equations, and the different classes of univalent functions which serve as intertwining mappings for these semigroups, along with their applications to various problems of complex dynamics.:
Contents note	Preface -- 1 Geometric Background -- 2 Dynamical Approach -- 3 Starlike Functions with Respect to a Boundary Point -- 4 Spirallike Functions with Respect to a Boundary Point -- 5 Koenigâs Type Starlike and Spirallike Functions -- 6 Rigidity of Holomorphic Mappings and Commuting Semigroups -- 7 Asymptotic Behavior of One-parameter Semigroups -- 8 Backward Flow Invariant Domains for Semigroups -- 9 Appendices -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0346-0509-0
Links to Related Works	Subject References: Difference and Functional Equations . Differentiable dynamical systems . Dynamical systems and ergodic theory . Functional equations . Functions of a Complex Variable . Functions of complex variables . Mathematics . Systems theory . Systems Theory, Control . Authors: author . Elin, Mark . Shoikhet, David . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515.39 (DDC 23) .

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

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