Factorization of functions in the Schur-Agler class related to test functions

DOI10.1090/PROC/16900MaRDI QIDQ6583770

Mainak Bhowmik, Poornendu Kumar

Publication date: 6 August 2024

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

zbMATH Keywords

extreme pointsfactorizationSchur-Agler classtest functionscolligationrealization formula

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Algebras of holomorphic functions of several complex variables (32A38) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Cites Work

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• Test functions, Schur-Agler classes and transfer-function realizations: the matrix-valued setting
• Transfer-function realization for multipliers of the Arveson space
• I. Schur methods in operator theory and signal processing
• A necessary condition on the extreme points of a class of holomorphic functions. II
• A necessary condition on the extreme points of a class of holomorphic functions
• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• Über Potenzreihen mit positivem, reellem Teil im Einheitskreis.
• Holomorphic functions on the symmetrized bidisk - realization, interpolation and extension
• Factorizations of Schur functions
• Operator-valued rational functions
• The Beurling-Lax-Halmos theorem for infinite multiplicity
• Realization of functions on the symmetrized bidisc
• Extreme points and saturated polynomials
• On the Nevanlinna problem: characterization of all Schur–Agler class solutions affiliated with a given kernel
• Interpolation in semigroupoid algebras
• A dilation theoretic approach to approximation by inner functions

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