de Branges spaces on compact Riemann surfaces and a Beurling-Lax type theorem

DOI10.1016/J.AIM.2020.107315zbMath1519.47011arXiv1806.08670MaRDI QIDQ6303367

Daniel Alpay, Victor Vinnikov, Ariel Pinhas

Publication date: 22 June 2018

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) 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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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