Analytic Properties of Holomorphic Functions

  • Carlos A. Berenstein
  • Roger Gay
Part of the Graduate Texts in Mathematics book series (GTM, volume 125)


At the end of Chapter 1 we introduced the holomorphic functions, that is, those functions fC1(Ω) that satisfy the Cauchy-Riemann differential equation \(\frac{{\partial f}}{{\partial \bar z}} = 0\) throughout an open set Ω ⊆ ℂ. As an immediate consequence of the topological tools developed in that chapter we found that the holomorphic functions enjoyed the following remarkable property (Cauchy’s theorem 1.1 1.4).


Assure Convolution Zole 


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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Carlos A. Berenstein
    • 1
  • Roger Gay
    • 2
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.Department of MathematicsUniversity of BordeauxTalenceFrance

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