Approximation, Complex Analysis, and Potential Theory

  • N. Arakelian
  • P. M. Gauthier
  • G. Sabidussi

Part of the NATO Science Series book series (NAII, volume 37)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Norair Arakelian
    Pages 1-28
  3. David H. Armitage
    Pages 29-71
  4. Thomas Bagby, Nelson Castañeda
    Pages 73-106
  5. André Boivin, Paul M. Gauthier
    Pages 107-128
  6. Huaihui Chen
    Pages 129-161
  7. Stephen J. Gardiner
    Pages 191-219
  8. Thomas J. Ransford
    Pages 221-237
  9. Back Matter
    Pages 263-264

About this book

Introduction

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here.

Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures.

A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.

Keywords

Approximation Complex analysis Mathematica Potential theory Sobolev space differential operator scientific computing

Editors and affiliations

  • N. Arakelian
    • 1
  • P. M. Gauthier
    • 2
  • G. Sabidussi
    • 2
  1. 1.Institute of MathematicsNational Academy of Sciences of ArmeniaYerevanArmenia
  2. 2.Département de Mathématiques et de StatistiqueUniversité de MontréalMontréalCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0979-9
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0029-4
  • Online ISBN 978-94-010-0979-9
  • Series Print ISSN 1568-2609
  • About this book
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