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Complex Analysis I

Proceedings of the Special Year held at the University of Maryland, College Park, 1985–86

  • Editors
  • Carlos A. Berenstein

Part of the Lecture Notes in Mathematics book series (LNM, volume 1275)

Table of contents

  1. Front Matter
    Pages I-XV
  2. J. Arazy, S. Fisher, J. Peetre
    Pages 10-22
  3. Albert Baernstein II
    Pages 23-30
  4. Joseph A. Cima, Thomas H. MacGregor
    Pages 78-88
  5. F. W. Gehring, G. J. Martin
    Pages 158-167
  6. James A. Jenkins
    Pages 210-214
  7. Robert Kaufman
    Pages 215-222
  8. Glenn E. Schober
    Pages 266-271
  9. A. A. Shaginyan
    Pages 272-279
  10. Harold S. Shapiro
    Pages 287-331

About these proceedings

Introduction

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.

Keywords

Chern class Complex analysis Derivative Meromorphic function Nevanlinna theory Riemann surfaces calculus differential equation measure minimum

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0078339
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18356-3
  • Online ISBN 978-3-540-47899-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site