Hardy Spaces and Boundary Conditions from the Ising Model
classification
🧮 math.CV
math-phmath.MP
keywords
boundaryhardyisingmodelspacescertaincharacterizationcomponents
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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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