Quadrature Domains and Their Two-Phase Counterparts

  • Stephen J. GardinerEmail author
  • Tomas Sjödin
Part of the Trends in Mathematics book series (TM)


This survey describes recent advances on quadrature domains that were made in the context of the ESF Network on Harmonic and Complex Analysis and its Applications (2007–2012). These results concern quadrature domains, and their two-phase counterparts, for harmonic, subharmonic and analytic functions.


Analytic function Harmonic function Partial balayage Quadrature domain Subharmonic function 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity College DublinDublin 4Ireland
  2. 2.Department of MathematicsLinköping UniversityLinköpingSweden

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