Test functions in constrained interpolation

DOI10.1090/S0002-9947-2012-05515-2zbMath1294.47024OpenAlexW2171970563WikidataQ57451932 ScholiaQ57451932MaRDI QIDQ2844721

James Pickering, Michael A. Dritschel

Publication date: 19 August 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05515-2

zbMATH Keywords

interpolationrealizationstest functionsNevanlinna-Pick

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Complex spaces (32C15)

Related Items (5)

Rational dilation problems associated with constrained algebras ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Dilations and constrained algebras ⋮ Nevanlinna-Pick interpolation on distinguished varieties in the bidisk ⋮ Eigenvalues of Toeplitz operators on the annulus and Neil algebra

Cites Work

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• Nevanlinna-Pick interpolation for \({\mathbb{C}}+BH^\infty\)
• The Pick interpolation theorem for finitely connected domains
• Reproducing kernels for Hardy spaces on multiply connected domains
• Counterexamples to rational dilation on symmetric multiply connected domains
• A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions
• A constrained Nevanlinna-Pick interpolation problem
• C*-Envelopes and Interpolation Theory
• The failure of rational dilation on a triply connected domain
• Classical function theory, operator dilation theory, and machine computation on multiply-connected domains

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