English

A uniqueness result on boundary interpolation

Classical Analysis and ODEs 2007-05-23 v1

Abstract

Let ff be an analytic function mapping the unit disk \D\D to itself. We give necessary and sufficient conditions on the local behavior of ff near a finite set of boundary points that requires ff to be a finite Blaschke product.

Keywords

Cite

@article{arxiv.math/0605121,
  title  = {A uniqueness result on boundary interpolation},
  author = {Vladimir Bolotnikov},
  journal= {arXiv preprint arXiv:math/0605121},
  year   = {2007}
}