Representability of de Branges matrices as Blaschke-Potapov products and the completeness of some families of functions.

DOI10.1023/A:1024045712587zbMath1073.46017OpenAlexW185205778MaRDI QIDQ1889485

Publication date: 2 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024045712587

zbMATH Keywords

meromorphic function Muckenhoupt weight Blaschke-Potapov product companion function de Branges matrix system of root subspaces

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Completeness problems, closure of a system of functions of one complex variable (30B60)

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