The higher order Carath\'eodory--Julia theorem and related boundary interpolation problems
classification
🧮 math.CA
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boundarycarathhigherinterpolationorderproblemstheoremanalogue
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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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