de Branges–Rovnyak Spaces and Norm-Constrained Interpolation
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Publication:3462191
DOI10.1007/978-3-0348-0667-1_5zbMath1342.47022arXiv1405.2985OpenAlexW1801214388MaRDI QIDQ3462191
Joseph A. Ball, Vladimir Bolotnikov
Publication date: 4 January 2016
Published in: Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2985
Linear operator methods in interpolation, moment and extension problems (47A57) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)
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Cites Work
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- Abstract interpolation in vector-valued de Branges-Rovnyak spaces
- Bitangential interpolation in generalized Schur classes
- Boundary behavior of functions in the de Branges-Rovnyak spaces
- Carathéodory-Julia type theorems for operator valued Schur functions
- Interpolation problems for Schur multipliers on the Drury--Arveson space: from Nevanlinna--Pick to abstract interpolation problem
- Perturbation theory
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- Composition operators and classical function theory
- A higher order analogue of the Carathéodory--Julia theorem
- Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$
- Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk
- Interpolation in de Branges-Rovnyak spaces
- de Branges–Rovnyak Spaces: Basics and Theory
- Carathéodory-Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk
- Lossless inverse scattering, digital filters, and estimation theory
- Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions
- Scattering Matrices in the Theory of Unitary Extension of Isometric Operators
- On Transformation of Potapov's Fundamental Matrix Inequality
- An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
- On Schur–Nevanlinna–Pick Indefinite Interpolation Problem
- Interpolation for multipliers on reproducing kernel Hilbert spaces
- Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions
- On boundary interpolation for matrix valued Schur functions
- On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
- Radial Limits and Invariant Subspaces
- Theory of Reproducing Kernels
- Perturbations of unitary transformations
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