TY - GEN TY - GEN T1 - Linearization Models for Complex Dynamical Systems Topics in Univalent Functions, Functional Equations and Semigroup Theory T2 - Linear Operators and Linear Systems, A1 - Elin, Mark. A2 - Shoikhet, David. LA - English PP - Basel PB - Birkhäuser Basel : Imprint: Birkhäuser YR - 2010 ED - 1st ed. 2010. UL - http://discoverylib.upm.edu.my/discovery/Record/978-3-0346-0509-0 AB - 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. OP - 268 CN - QA313 SN - 9783034605090 KW - Dynamics. KW - Ergodic theory. KW - Functions of complex variables. KW - System theory. KW - Difference equations. KW - Functional equations. KW - Dynamical Systems and Ergodic Theory. KW - Functions of a Complex Variable. KW - Systems Theory, Control. KW - Difference and Functional Equations. ER -