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Paper detail

Hardy Spaces and Boundary Conditions from the Ising Model

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.

preprint2012arXivOpen access
Clément HonglerDuong Hong Phong
math.CVmath-phmath.MP
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Clément HonglerDuong Hong Phong

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