Linearization Models for Complex Dynamical Systems

Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin

  • David Shoikhet
  • Mark Elin

Part of the Operator Theory: Advances and Applications book series (OT, volume 208)

Table of contents

  1. Front Matter
    Pages i-xii
  2. David Shoikhet, Mark Elin
    Pages 1-15
  3. David Shoikhet, Mark Elin
    Pages 17-37
  4. David Shoikhet, Mark Elin
    Pages 39-61
  5. David Shoikhet, Mark Elin
    Pages 63-93
  6. David Shoikhet, Mark Elin
    Pages 95-120
  7. David Shoikhet, Mark Elin
    Pages 121-151
  8. David Shoikhet, Mark Elin
    Pages 153-194
  9. David Shoikhet, Mark Elin
    Pages 195-219
  10. David Shoikhet, Mark Elin
    Pages 221-246
  11. Back Matter
    Pages 247-265

About this book

Introduction

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.

Keywords

Complex analysis Operator theory functional equation semigroup spriallike function starlike function univalent function

Authors and affiliations

  • David Shoikhet
    • 1
  • Mark Elin
    • 1
  1. 1.Department of MathematicsORT Braude CollegeKarmielIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0346-0509-0
  • Copyright Information Birkhäuser / Springer Basel 2010
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0346-0508-3
  • Online ISBN 978-3-0346-0509-0
  • About this book