On the Nevanlinna problem: characterization of all Schur–Agler class solutions affiliated with a given kernel

DOI10.4064/sm190505-8-10zbMath1480.47020arXiv1905.04301OpenAlexW3023040065MaRDI QIDQ3298551

Vikramjeet Singh Chandel, Anindya K. Biswas, Tirthankar Bhattacharyya

Publication date: 14 July 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04301

zbMATH Keywords

transfer functiontest functionSchur-Agler classseveral complex variablesunitary colligationpositive kernelNevanlinna problem

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (1)

Interpolating sequences for the Banach algebras generated by a class of test functions

Cites Work

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• Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension
• Type I product systems of Hilbert modules
• Harmonic analysis of operators on Hilbert space
• Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization
• Measure Theory

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