A uniqueness result on boundary interpolation
classification
🧮 math.CA
keywords
boundaryfiniteanalyticbehaviorblaschkeconditionsdiskfunction
read the original abstract
Let $f$ be an analytic function mapping the unit disk $\D$ to itself. We give necessary and sufficient conditions on the local behavior of $f$ near a finite set of boundary points that requires $f$ to be a finite Blaschke product.
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