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

✍ Scribed by Mark Elin, David Shoikhet

Publisher
BirkhΓ€user Basel
Year
2010
Tongue
English
Leaves
279
Series
Operator Theory: Advances and Applications volume 208
Edition
2nd Printing.
Category
Library
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✦ Synopsis

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, SchrΓΆder’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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