Carathéodory-Julia type theorems for operator valued Schur functions

DOI10.1007/s11854-008-0049-xzbMath1178.30042OpenAlexW1987238480WikidataQ121789234 ScholiaQ121789234MaRDI QIDQ1001391

Alexander Kheifets, Vladimir Bolotnikov

Publication date: 17 February 2009

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0049-x

zbMATH Keywords

Banges-Rovnyak spaceCarathéodory-Julia theoremsSchur analytic functions

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Moment problems and interpolation problems in the complex plane (30E05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items

de Branges–Rovnyak Spaces and Norm-Constrained Interpolation, Boundary asymptotic expansions of analytic self-maps of the unit disk, Inequalities for angular derivatives and boundary interpolation, On higher order boundary derivatives of an analytic self-map of the unit disk, A controlled tangential Julia-Carathéodory theory via averaged Julia quotients, Abstract interpolation in vector-valued de Branges-Rovnyak spaces, Carathéodory-Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk

Cites Work

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• Theory of Reproducing Kernels
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