Selected Topics in Complex Analysis

The S. Ya. Khavinson Memorial Volume

  • Vladimir Ya. Eiderman
  • Mikhail V. Samokhin
Book

Part of the Operator Theory: Advances and Applications book series (OT, volume 158)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Dov Aharonov, Catherine Bénéteau, Dmitry Khavinson, Harold Shapiro
    Pages 59-86
  3. John T. Anderson, John Wermer
    Pages 101-108
  4. Joan Josep Carmona, Konstantin Yu. Fedorovskiy
    Pages 109-130
  5. V.Ya. Eiderman
    Pages 131-139
  6. A.M. Jerbashian
    Pages 141-158
  7. Mark Melnikov, Xavier Tolsa
    Pages 159-176
  8. Xuecheng Pang, Shahar Nevo, Lawrence Zalcman
    Pages 177-189
  9. William T. Ross
    Pages 191-211

About this book

Introduction

This volume is dedicated to the memory of the outstanding mathematician S.Ya. Khavinson. It begins with an expository paper by V.P. Havin presenting a comprehensive survey of Khavinson's works as well as certain biographical material. The complete bibliography following this paper has not previously been published anywhere. It consists of 163 items; a considerable part of these cannot be found in easily accessible sources. The book also contains a series of photographs and twelve original peer-reviewed research and expository papers by leading mathematicians worldwide, including the joint paper by S.Ya. Khavinson and T.S. Kuzina (the last publication of S.Ya. Khavinson).
The main topics covered are extremal problems for various classes of functions, approximation problems, Cauchy integral and analytic capacity,
Cantor sets, meromorphic functions (value distribution, quasinormal families), Carathéodory inequality, integral representation of functions, and the shift operator.
The book is suitable for graduate students and researchers interested in analysis.

Keywords

Complex analysis Meromorphic function Operator theory Riemann surfaces distribution functional analysis

Editors and affiliations

  • Vladimir Ya. Eiderman
    • 1
  • Mikhail V. Samokhin
    • 1
  1. 1.Department of Higher MathematicsMoscow State Civil Engineering UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/b137639
  • Copyright Information Birkhäuser Verlag 2005
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7251-4
  • Online ISBN 978-3-7643-7340-5
  • About this book