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arXiv · 1201.1566

Hardy Spaces and Boundary Conditions from the Ising Model

Clément Hongler·Duong Hong Phong
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Abstract

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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Clément Hongler, Duong Hong Phong. 2012-01-07. Hardy Spaces and Boundary Conditions from the Ising Model. https://arxiv.org/abs/1201.1566

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