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Szego's theorem for canonical systems: The Arov gauge and a sum rule

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Szego's theorem for canonical systems: The Arov gauge and a sum rule. / Damanik, David; Eichinger, Benjamin; Yuditskii, Peter.
In: Journal of Spectral Theory, Vol. 11, No. 3, 31.07.2021, p. 1255-1277.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Damanik, D, Eichinger, B & Yuditskii, P 2021, 'Szego's theorem for canonical systems: The Arov gauge and a sum rule', Journal of Spectral Theory, vol. 11, no. 3, pp. 1255-1277. https://doi.org/10.4171/JST/371

APA

Damanik, D., Eichinger, B., & Yuditskii, P. (2021). Szego's theorem for canonical systems: The Arov gauge and a sum rule. Journal of Spectral Theory, 11(3), 1255-1277. https://doi.org/10.4171/JST/371

Vancouver

Damanik D, Eichinger B, Yuditskii P. Szego's theorem for canonical systems: The Arov gauge and a sum rule. Journal of Spectral Theory. 2021 Jul 31;11(3):1255-1277. doi: 10.4171/JST/371

Author

Damanik, David ; Eichinger, Benjamin ; Yuditskii, Peter. / Szego's theorem for canonical systems : The Arov gauge and a sum rule. In: Journal of Spectral Theory. 2021 ; Vol. 11, No. 3. pp. 1255-1277.

Bibtex

@article{dfde87469f764c19926143f7e62f47b0,
title = "Szego's theorem for canonical systems: The Arov gauge and a sum rule",
abstract = "We consider canonical systems and investigate the Szego class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be studied in a variety of gauges, we choose to work in the Arov gauge, in which we prove that the entropy integral is equal to an integral involving the coefficients of the canonical system. This sum rule provides a spectral theory gem in the sense proposed by Barry Simon.",
keywords = "Canonical Hamiltonian system, Entropy, Sum rule, Szego class",
author = "David Damanik and Benjamin Eichinger and Peter Yuditskii",
note = "Publisher Copyright: {\textcopyright} 2021 European Mathematical Society.",
year = "2021",
month = jul,
day = "31",
doi = "10.4171/JST/371",
language = "English",
volume = "11",
pages = "1255--1277",
journal = "Journal of Spectral Theory",
issn = "1664-039X",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

RIS

TY - JOUR

T1 - Szego's theorem for canonical systems

T2 - The Arov gauge and a sum rule

AU - Damanik, David

AU - Eichinger, Benjamin

AU - Yuditskii, Peter

N1 - Publisher Copyright: © 2021 European Mathematical Society.

PY - 2021/7/31

Y1 - 2021/7/31

N2 - We consider canonical systems and investigate the Szego class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be studied in a variety of gauges, we choose to work in the Arov gauge, in which we prove that the entropy integral is equal to an integral involving the coefficients of the canonical system. This sum rule provides a spectral theory gem in the sense proposed by Barry Simon.

AB - We consider canonical systems and investigate the Szego class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be studied in a variety of gauges, we choose to work in the Arov gauge, in which we prove that the entropy integral is equal to an integral involving the coefficients of the canonical system. This sum rule provides a spectral theory gem in the sense proposed by Barry Simon.

KW - Canonical Hamiltonian system

KW - Entropy

KW - Sum rule

KW - Szego class

U2 - 10.4171/JST/371

DO - 10.4171/JST/371

M3 - Journal article

AN - SCOPUS:85116837399

VL - 11

SP - 1255

EP - 1277

JO - Journal of Spectral Theory

JF - Journal of Spectral Theory

SN - 1664-039X

IS - 3

ER -