Products of Nevanlinna-Pick kernels and operator colligations

DOI10.1007/BF01291719zbMath0984.47009MaRDI QIDQ1592837

Andrew T. Tomerlin

Publication date: 5 May 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

transfer functionSchur classpositive kernelsSzegő kernel\(d\)-variable unitary colligationkernel factorization propertyNevanlinna-Pick interpolation theorem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (8)

A von Neumann type inequality for certain domains in $\mathbf C^n$ ⋮ Realization and interpolation for Schur--Agler-class functions on domains with matrix polynomial defining function in \(\mathbb C^{n}\) ⋮ Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting ⋮ Tensor product of quotient Hilbert modules ⋮ A uniqueness result concerning Schur ideals ⋮ Hilbert spaces of Dirichlet series and their multipliers ⋮ Multiplicities, invariant subspaces and an additive formula ⋮ Invariant subspaces and Nevanlinna-Pick kernels

Cites Work

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• Unitary colligations, reproducing kernel Hilbert spaces, and Nevanlinna-Pick interpolation in several variables
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Nevanlinna-Pick Interpolation on Sobolev Space
• Projective modules and Hilbert spaces with a Nevanlinna-Pick kernel

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