The Discontinuity Function of Discrete Groups and Radius of Schlichtness

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We define the notion of the discontinuity radius of a discrete and discontinuous group. This is a function which is closely related to the group geometry. We demonstrate the usefullness of this notion by proving some geometrical results and by computing the schlichtness radius of certain Blaschke products. In a subsequent paper we will give further applications to Fuchsian groups.

Original languageEnglish
Pages (from-to)1189-1198
Number of pages10
JournalComplex Analysis and Operator Theory
Issue number6
StatePublished - 1 Dec 2012


  • Discontinuous groups
  • Discrete groups
  • Schlichtness radius of analytic functions

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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