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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

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).

About the Authors

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


V. S. Mikhaylov
St. Petersburg State University
Russian Federation


References

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For citations:


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)