Interpolation in multivariable de Branges-Rovnyak spaces

DOI10.1007/978-3-031-21460-8_2arXiv2205.10112MaRDI QIDQ6160941

Joseph A. Ball, Sanne ter Horst, Vladimir Bolotnikov

Publication date: 2 June 2023

Published in: Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.10112

zbMATH Keywords

Fock spacelinear fractional transformationsde Branges-Rovnyak spaceDrury-Arveson spaceoperator-argument interpolation

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57)

Cites Work

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• Abstract interpolation in vector-valued de Branges-Rovnyak spaces
• On a bitangential interpolation problem for contractive-valued functions on the unit ball
• Discrete-time dichotomous well-posed linear systems and generalized Schur--Nevanlinna--Pick interpolation
• Interpolation problems for Schur multipliers on the Drury--Arveson space: from Nevanlinna--Pick to abstract interpolation problem
• The commutant lifting approach to interpolation problems
• Interpolation of rational matrix functions
• Extension and interpolation of linear operators and matrix functions
• Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• The Schur algorithm and reproducing kernel Hilbert spaces in the ball
• Metric constrained interpolation, commutant lifting and systems
• A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space
• Complete Nevanlinna-Pick kernels
• The bitangential matrix Nevanlinna-Pick interpolation problem revisited
• All solutions to an operator Nevanlinna-Pick interpolation problem
• Invariant subspaces and Nevanlinna-Pick kernels
• Noncommutative interpolation and Poisson transforms
• Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations
• Multivariable backward-shift-invariant subspaces and observability operators
• Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems
• Harmonic analysis of operators on Hilbert space
• Interpolation in Sub-Bergman Spaces
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Interpolation in de Branges-Rovnyak spaces
• Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity
• Interpolation by Contractive Multipliers Between Fock Spaces
• Noncommutative Function-Theoretic Operator Theory and Applications
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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