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On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices. / Mikhaylov, Alexander S.; Mikhaylov, Victor S.

In: Nanosystems: Physics, Chemistry, Mathematics, Vol. 13, No. 1, 02.2022, p. 24-29.

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@article{441a4c6d20ac4a3ca7e79c1ac075eb7f,
title = "On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices",
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, De Branges spaces, Jacobi matrices, Krein equations",
author = "Mikhaylov, {Alexander S.} and Mikhaylov, {Victor S.}",
note = "Publisher Copyright: {\textcopyright} Mikhaylov A.S., Mikhaylov V.S., 2022.",
year = "2022",
month = feb,
doi = "10.17586/2220-8054-2022-13-1-24-29",
language = "English",
volume = "13",
pages = "24--29",
journal = "Nanosystems: Physics, Chemistry, Mathematics",
issn = "2220-8054",
publisher = "НИУ ИТМО",
number = "1",

}

RIS

TY - JOUR

T1 - On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices

AU - Mikhaylov, Alexander S.

AU - Mikhaylov, Victor S.

N1 - Publisher Copyright: © Mikhaylov A.S., Mikhaylov V.S., 2022.

PY - 2022/2

Y1 - 2022/2

N2 - 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).

AB - 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).

KW - Boundary control method

KW - De Branges spaces

KW - Jacobi matrices

KW - Krein equations

UR - http://www.scopus.com/inward/record.url?scp=85126458240&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/531d7550-c7c4-35a7-89dd-ecbea7bb5d8f/

U2 - 10.17586/2220-8054-2022-13-1-24-29

DO - 10.17586/2220-8054-2022-13-1-24-29

M3 - Article

AN - SCOPUS:85126458240

VL - 13

SP - 24

EP - 29

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

IS - 1

ER -

ID: 94202333