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

  • Daniel Alpay


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.


Unit Circle Entire Function Analytic Continuation Interpolation Problem Blaschke Product 
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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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