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The Maximum Modulus Theorem

  • John B. Conway
Chapter
  • 5.2k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 11)

Abstract

This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.

Keywords

Analytic Function Convex Function Maximum Principle Open Unit Disk Extended Boundary 
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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