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Morera, Liouville, Schwarz, et les autres: First Applications

  • Daniel Alpay
Chapter

Abstract

Cauchy’s formula is the key to most, if not all, important results in complex variables, and in particular to the existence of a power series expansion around each point of analyticity, the maximum modulus principle and the fact that the zeros of a non-identically vanishing analytic function are isolated. In this chapter we present exercises on these topics.

Keywords

Unit Circle Entire Function Analytic Continuation Interpolation Problem Blaschke Product 
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 International Publishing AG 2016

Authors and Affiliations

  • Daniel Alpay
    • 1
    • 2
  1. 1.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael
  2. 2.Department of MathematicsChapman UniversityOrangeUSA

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