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, 2022, Volume 13, Issue 1,Pages <nobr>24

MATHEMATICS

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

Alexander S. Mikhailov^ab, Victor S. Mikhailov^a

^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

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.

Received: 25.12.2021
Revised: 31.12.2021

Language: English

DOI: 10.17586/2220-8054-2022-13-1-24-29