## 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.

Published in:
Mathematische Zeitschrift, 274, 209-224
Year:
2013
Publisher:
Springer Verlag
ISSN:
0025-5874
Keywords:
Laboratories: