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5. Analytic capacity and the Painlevé problem

  • Hervé PajotEmail author
Chapter
  • 367 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1799)

Abstract

  • 1 Removable singularities

  • 2 The Painlevé Problem

  • 3 Some examples
    • 3.1 Continua in the complex plane

    • 3.2 Analytic capacity of subsets of the real line

    • 3.3 Analytic capacity and area

  • 4 Analytic capacity and metric size of sets

  • 5 Garnett-Ivanov’s counterexample

  • 6 Who was Painlevé?

Mathematics Subject Classification (2000):

28A75 30C85 42B20 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Cergy-PontoiseCergy-Pontoise CedexFrance

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