Realization of functions on the symmetrized bidisc
Abstract
We prove a realization formula and a model formula for analytic functions with modulus bounded by 1 on the symmetrized bidisc \[ G def= \(z+w,zw): |z|<1, \, |w| < 1\. \] As an application we prove a Pick-type theorem giving a criterion for the existence of such a function satisfying a finite set of interpolation conditions.
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