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

https://doi.org/10.17586/2220-8054-2022-13-1-24-29

Аннотация

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).

Об авторах

A. Mikhaylov
St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; St. Petersburg State University
Россия


V. Mikhaylov
St. Petersburg State University
Россия


Список литературы

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12. Mikhaylov A.S., Mikhaylov V.S. Dynamic inverse problem for Jacobi matrices. Inverse Problems and Imaging, 2019, 13(3), P. 431-447.

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Рецензия

Для цитирования:


 ,   . Наносистемы: физика, химия, математика. 2022;13(1):24-29. https://doi.org/10.17586/2220-8054-2022-13-1-24-29

For citation:


Mikhaylov A.S., Mikhaylov V.S. On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices. Nanosystems: Physics, Chemistry, Mathematics. 2022;13(1):24-29. https://doi.org/10.17586/2220-8054-2022-13-1-24-29

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)