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Canonical Systems in Classes of Compact Operators. / Romanov, Roman; Woracek, Harald.

Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Birkhäuser Verlag AG, 2021. стр. 207-209 (Trends in Mathematics; Том 12).

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Harvard

Romanov, R & Woracek, H 2021, Canonical Systems in Classes of Compact Operators. в Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Trends in Mathematics, Том. 12, Birkhäuser Verlag AG, стр. 207-209. https://doi.org/10.1007/978-3-030-74417-5_26

APA

Romanov, R., & Woracek, H. (2021). Canonical Systems in Classes of Compact Operators. в Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling (стр. 207-209). (Trends in Mathematics; Том 12). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-030-74417-5_26

Vancouver

Romanov R, Woracek H. Canonical Systems in Classes of Compact Operators. в Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Birkhäuser Verlag AG. 2021. стр. 207-209. (Trends in Mathematics). https://doi.org/10.1007/978-3-030-74417-5_26

Author

Romanov, Roman ; Woracek, Harald. / Canonical Systems in Classes of Compact Operators. Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Birkhäuser Verlag AG, 2021. стр. 207-209 (Trends in Mathematics).

BibTeX

@inbook{b0b89789a6c840d394002b27592b9f54,
title = "Canonical Systems in Classes of Compact Operators",
abstract = "Spectral properties of two-dimensional canonical systems with locally integrable Hamiltonian are studied. We give a criterion of discreteness of the spectrum of the associated selfadjoint operator, and study asymptotic distribution of this spectrum in terms of symmetrically normed ideals of compact operators. Simultaneously, we answer a 1968 question of Louis de Branges on description of the Hamiltonians which are structure functions of some de Branges spaces.",
author = "Roman Romanov and Harald Woracek",
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_26",
language = "English",
isbn = "978-3-030-74416-8",
series = "Trends in Mathematics",
publisher = "Birkh{\"a}user Verlag AG",
pages = "207--209",
booktitle = "Extended Abstracts Fall 2019",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Canonical Systems in Classes of Compact Operators

AU - Romanov, Roman

AU - Woracek, Harald

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

PY - 2021

Y1 - 2021

N2 - Spectral properties of two-dimensional canonical systems with locally integrable Hamiltonian are studied. We give a criterion of discreteness of the spectrum of the associated selfadjoint operator, and study asymptotic distribution of this spectrum in terms of symmetrically normed ideals of compact operators. Simultaneously, we answer a 1968 question of Louis de Branges on description of the Hamiltonians which are structure functions of some de Branges spaces.

AB - Spectral properties of two-dimensional canonical systems with locally integrable Hamiltonian are studied. We give a criterion of discreteness of the spectrum of the associated selfadjoint operator, and study asymptotic distribution of this spectrum in terms of symmetrically normed ideals of compact operators. Simultaneously, we answer a 1968 question of Louis de Branges on description of the Hamiltonians which are structure functions of some de Branges spaces.

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UR - https://www.mendeley.com/catalogue/974fa047-491c-3fd3-8584-91e9187ca820/

U2 - 10.1007/978-3-030-74417-5_26

DO - 10.1007/978-3-030-74417-5_26

M3 - Chapter

AN - SCOPUS:85119684029

SN - 978-3-030-74416-8

T3 - Trends in Mathematics

SP - 207

EP - 209

BT - Extended Abstracts Fall 2019

PB - Birkhäuser Verlag AG

ER -

ID: 89303841