Article ID Journal Published Year Pages File Type
5774956 Journal of Mathematical Analysis and Applications 2017 14 Pages PDF
Abstract

We prove a realization formula and a model formula for analytic functions with modulus bounded by 1 on the symmetrized bidiscG=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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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