Multiplicative Stieltjes functions and associated pairs of reproducing kernel Hilbert spaces

DOI10.1007/978-3-030-18484-1_1zbMath1442.46021OpenAlexW2967717943MaRDI QIDQ2010216

Joseph A. Ball, Vladimir Bolotnikov

Publication date: 27 November 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-18484-1_1

zbMATH Keywords

reproducing kernel Hilbert spacePotapov-Ginzburg transformstructural identitybackward-shift invariancemultiplicative Stieltjes function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) 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) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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