The higher order Carathéodory--Julia theorem and related boundary interpolation problems

Details The higher order Carathéodory--Julia theorem and related boundary interpolation problems The higher order Carathéodory--Julia theorem and related boundary interpolation problems

2007-01-03

arxiv.org/abs/math/0701106v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The higher order analogue of the classical Carath\'eodory-Julia theorem on
boundary angular derivatives has been obtained in \cite{bk3}. Here we study
boundary interpolation problems for Schur class functions (analytic and bounded
by one in the open unit disk) motivated by that result.

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