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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 1, Pages 24–29
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-24-29 (Mi nano1081) 		 
MATHEMATICS

On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices

Alexander S. Mikhailovab, Victor S. Mikhailova

a St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 191023 St. Petersburg, Russia
b St. Petersburg State University, 199034 St. Petersburg, Russia
Full-text PDF (239 kB)
DOI: https://doi.org/10.17586/2220-8054-2022-13-1-24-29
Abstract: 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).
Keywords: boundary control method, Krein equations, Jacobi matrices, de Branges spaces.
Funding agency Grant number
Volkswagen Foundation
A. S. Mikhaylov and V. S. Mikhaylov were partly supported by Volkswagen Foundation project “From Modeling and Analysis to Approximation”.
Received: 25.12.2021
Revised: 31.12.2021
Bibliographic databases:
Document Type: Article
Language: English
Citation: Alexander S. Mikhailov, Victor S. Mikhailov, “On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices”, Nanosystems: Physics, Chemistry, Mathematics, 13:1 (2022), 24–29
Citation in format AMSBIB
\Bibitem{MikMik22}
\by Alexander~S.~Mikhailov, Victor~S.~Mikhailov
\paper On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 1
\pages 24--29
\mathnet{http://mi.mathnet.ru/nano1081}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-1-24-29}
\elib{https://elibrary.ru/item.asp?id=48016821}
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