Mathematische Zeitschrift

, Volume 274, Issue 1–2, pp 209–224 | Cite as

Hardy spaces and boundary conditions from the Ising model

  • Clément Hongler
  • Duong H. Phong


Functions in Hardy spaces on multiply-connected domains in the plane are given an explicit characterization in terms of a boundary condition inspired by the two-dimensional Ising model. The key underlying property is the positivity of a certain operator constructed inductively on the number of components of the boundary.


Riemann Surface Line Bundle Holomorphic Function Unit Disk Hardy Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA

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