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Compactness and Convergence in the Space of Analytic Functions

  • John B. Conway
Chapter
  • 5.3k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 11)

Abstract

In this chapter a metric is put on the set of all analytic functions on a fixed region G, and compactness and convergence in this metric space is discussed. Among the applications obtained is a proof of the Riemann Mapping Theorem.

Keywords

Analytic Function Compact Subset Entire Function Meromorphic Function Zeta Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 1978

Authors and Affiliations

  • John B. Conway
    • 1
  1. 1.Mathematics DepartmentUniversity of TennesseeKnoxvilleUSA

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