A uniqueness result on boundary interpolation

DOI10.1090/S0002-9939-07-09126-5zbMath1143.30019arXivmath/0605121MaRDI QIDQ5448934

Vladimir Bolotnikov

Publication date: 10 March 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605121

zbMATH Keywords

uniquenessBlaschke productboundary interpolation

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (11)

A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps ⋮ On zeros of certain analytic functions ⋮ The Nevanlinna-Pick problem on the closed unit disk: minimal norm rational solutions of low degree ⋮ On higher order boundary derivatives of an analytic self-map of the unit disk ⋮ Boundary Interpolation by Finite Blaschke Products ⋮ Boundary interpolation and rigidity for generalized Nevanlinna functions ⋮ Extreme points in the isometric embedding problem for model spaces ⋮ BOUNDARY ANGULAR DERIVATIVES OF GENERALIZED SCHUR FUNCTIONS ⋮ Rigidity theorems, boundary interpolation and reproducing kernels for generalized Schur functions ⋮ The Schwarz Lemma: Rigidity and Dynamics ⋮ Two boundary rigidity results for holomorphic maps

Cites Work

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• Krein-Langer factorizations via pole triples
• A higher order analogue of the Carathéodory--Julia theorem
• A multiple boundary interpolation problem for contracting matrix-valued functions in the unit circle
• A generalized Schwarz lemma at the boundary
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• On boundary interpolation for matrix valued Schur functions

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