Canonical Systems in Classes of Compact Operators

Standard

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. p. 207-209 (Trends in Mathematics; Vol. 12).

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

Harvard

Romanov, R & Woracek, H 2021, Canonical Systems in Classes of Compact Operators. in Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Trends in Mathematics, vol. 12, Birkhäuser Verlag AG, pp. 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. In Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling (pp. 207-209). (Trends in Mathematics; Vol. 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. In Extended Abstracts Fall 2019: Spaces of Analytic Functions: Approximation, Interpolation, Sampling. Birkhäuser Verlag AG. 2021. p. 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. pp. 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

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.

UR - http://www.scopus.com/inward/record.url?scp=85119684029&partnerID=8YFLogxK

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