Standard

De Branges Canonical Systems with Finite Logarithmic Integral. / Bessonov, Roman V.; Denisov, Sergey A.

Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Springer Nature, 2021. p. 37-41 (Trends in Mathematics; Vol. 12).

Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology › Research › peer-review

Harvard

Bessonov, RV & Denisov, SA 2021, De Branges Canonical Systems with Finite Logarithmic Integral. in Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Trends in Mathematics, vol. 12, Springer Nature, pp. 37-41. https://doi.org/10.1007/978-3-030-74417-5_6

APA

Bessonov, R. V., & Denisov, S. A. (2021). De Branges Canonical Systems with Finite Logarithmic Integral. In Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling (pp. 37-41). (Trends in Mathematics; Vol. 12). Springer Nature. https://doi.org/10.1007/978-3-030-74417-5_6

Vancouver

Bessonov RV, Denisov SA. De Branges Canonical Systems with Finite Logarithmic Integral. In Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Springer Nature. 2021. p. 37-41. (Trends in Mathematics). https://doi.org/10.1007/978-3-030-74417-5_6

Author

Bessonov, Roman V. ; Denisov, Sergey A. / De Branges Canonical Systems with Finite Logarithmic Integral. Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Springer Nature, 2021. pp. 37-41 (Trends in Mathematics).

BibTeX

@inbook{872d133fc59e4a3999795830010630bb,
title = "De Branges Canonical Systems with Finite Logarithmic Integral",
abstract = "Krein–de Branges spectral theory provides a correspondence between canonical Hamiltonian systems and measures on the real line with finite Poisson integral. We revisit this area by giving a description of canonical Hamiltonian systems whose spectral measures have logarithmic integral converging over the real line. Our result can be viewed as a spectral version of the classical Szeg{\H o} theorem in the theory of polynomials orthogonal on the unit circle. It extends Krein–Wiener completeness theorem, a key fact in the prediction of stationary Gaussian processes.",
author = "Bessonov, {Roman V.} and Denisov, {Sergey A.}",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-74417-5_6",
language = "English",
isbn = "978-3-030-74416-8",
series = "Trends in Mathematics",
publisher = "Springer Nature",
pages = "37--41",
booktitle = "Extended Abstracts Fall 2019",
address = "Germany",

}

RIS

TY - CHAP

T1 - De Branges Canonical Systems with Finite Logarithmic Integral

AU - Bessonov, Roman V.

AU - Denisov, Sergey A.

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - Krein–de Branges spectral theory provides a correspondence between canonical Hamiltonian systems and measures on the real line with finite Poisson integral. We revisit this area by giving a description of canonical Hamiltonian systems whose spectral measures have logarithmic integral converging over the real line. Our result can be viewed as a spectral version of the classical Szegő theorem in the theory of polynomials orthogonal on the unit circle. It extends Krein–Wiener completeness theorem, a key fact in the prediction of stationary Gaussian processes.

AB - Krein–de Branges spectral theory provides a correspondence between canonical Hamiltonian systems and measures on the real line with finite Poisson integral. We revisit this area by giving a description of canonical Hamiltonian systems whose spectral measures have logarithmic integral converging over the real line. Our result can be viewed as a spectral version of the classical Szegő theorem in the theory of polynomials orthogonal on the unit circle. It extends Krein–Wiener completeness theorem, a key fact in the prediction of stationary Gaussian processes.

UR - http://www.scopus.com/inward/record.url?scp=85119698907&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-74417-5_6

DO - 10.1007/978-3-030-74417-5_6

M3 - Article in an anthology

AN - SCOPUS:85119698907

SN - 978-3-030-74416-8

T3 - Trends in Mathematics

SP - 37

EP - 41

BT - Extended Abstracts Fall 2019

PB - Springer Nature

ER -

ID: 94392866