Hardy Spaces and Boundary Conditions from the Ising Model

Details Hardy Spaces and Boundary Conditions from the Ising Model Hardy Spaces and Boundary Conditions from the Ising Model

2012-01-07

arxiv.org/abs/1201.1566v1

Mathematics

Complex Variables

15 pages

Scientific paper

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.

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