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Selected Topics in Complex Analysis

The S. Ya. Khavinson Memorial Volume

  • Book
  • © 2005

Overview

Editors:
  1. Vladimir Ya. Eiderman

    1. Department of Higher Mathematics, Moscow State Civil Engineering University, Moscow, Russia

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  2. Mikhail V. Samokhin

    1. Department of Higher Mathematics, Moscow State Civil Engineering University, Moscow, Russia

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    You can also search for this editor in PubMed   Google Scholar

  • Dedicated to the memory of S.Ya. Khavinson
  • Includes works of experts in the theory of analytic functions
  • Emphasis on the usage of tools from functional analysis, potential theory, algebra, and topology

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Semyon Yakovlevich Khavinson (May 17, 1927 – January 30, 2003)

    • V.P. Havin
    Pages 1-22

  3. S.Ya. Khavinson: Bibliography

    Pages 23-32

  4. S.Ya. Khavinson: Photos

    Pages 33-36

  5. The Structural Formulae for Extremal Functions in Hardy Classes on Finite Riemann Surfaces

    • S.Ya. Khavinson, T.S. Kuzina
    Pages 37-57

  6. Extremal Problems for Nonvanishing Functions in Bergman Spaces

    • Dov Aharonov, Catherine Bénéteau, Dmitry Khavinson, Harold Shapiro
    Pages 59-86

  7. Generalization of Carathéodory’s Inequality and the Bohr Radius for Multidimensional Power Series

    • Lev Aizenberg
    Pages 87-94

  8. Remarks on the Value Distribution of Meromorphic Functions

    • J.M. Anderson
    Pages 95-99

  9. Approximation Problems on the Unit Sphere in C2

    • John T. Anderson, John Wermer
    Pages 101-108

  10. Conformal Maps and Uniform Approximation by Polyanalytic Functions

    • Joan Josep Carmona, Konstantin Yu. Fedorovskiy
    Pages 109-130

  11. Capacities of Generalized Cantor Sets

    • V.Ya. Eiderman
    Pages 131-139

  12. On A Pω,γ Spaces in the Half-Plane

    • A.M. Jerbashian
    Pages 141-158

  13. Estimate of the Cauchy Integral over Ahlfors Regular Curves

    • Mark Melnikov, Xavier Tolsa
    Pages 159-176

  14. Quasinormal Families of Meromorphic Functions II

    • Xuecheng Pang, Shahar Nevo, Lawrence Zalcman
    Pages 177-189

  15. The Backward Shift on Hp

    • William T. Ross
    Pages 191-211

  16. On Some Classes of q-parametric Positive linear Operators

    • Victor S. Videnskii
    Pages 213-222
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Keywords

About this book

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).

Editors and Affiliations

  • Department of Higher Mathematics, Moscow State Civil Engineering University, Moscow, Russia

    Vladimir Ya. Eiderman, Mikhail V. Samokhin

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