najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-1-24-29najo-211Research ArticleСтатьиOn the construction of de Branges spaces for dynamical systems associated with finite Jacobi matricesMikhaylovA. S.mikhaylov@pdmi.ras.ruMikhaylovV. S.vsmikhaylov@pdmi.ras.ruSt. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; St. Petersburg State UniversityRussian FederationSt. Petersburg State UniversityRussian Federation2022060620251312429Copyright © Mikhaylov A.S., Mikhaylov V.S., 20252025Mikhaylov A.S., Mikhaylov V.S.Mikhaylov A.S., Mikhaylov V.S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/211

We consider dynamical systems with boundary control associated with finite Jacobi matrices. Using the method previously developed by the authors, we associate with these systems special Hilbert spaces of analytic functions (de Branges spaces).

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The authors declare that there are no conflicts of interest present.