A uniqueness result on boundary interpolation

2006/05/04 by Vladimir Bolotnikov, Bolotnikov, Vladimir · 1 citation
Mathematics · #30C80 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/0605121

openalex publication_date 2006/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• A Burns-Krantz type theorem for Blaschke products

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