Standard

Order problem for canonical systems and a conjecture of Valent. / Romanov, R.

In: Transactions of the American Mathematical Society, Vol. 369, No. 2, 2017, p. 1061-1078.

Research output: Contribution to journal › Article › peer-review

Harvard

Romanov, R 2017, 'Order problem for canonical systems and a conjecture of Valent', Transactions of the American Mathematical Society, vol. 369, no. 2, pp. 1061-1078. https://doi.org/10.1090/tran6686

APA

Romanov, R. (2017). Order problem for canonical systems and a conjecture of Valent. Transactions of the American Mathematical Society, 369(2), 1061-1078. https://doi.org/10.1090/tran6686

Vancouver

Romanov R. Order problem for canonical systems and a conjecture of Valent. Transactions of the American Mathematical Society. 2017;369(2):1061-1078. https://doi.org/10.1090/tran6686

Author

Romanov, R. / Order problem for canonical systems and a conjecture of Valent. In: Transactions of the American Mathematical Society. 2017 ; Vol. 369, No. 2. pp. 1061-1078.

BibTeX

@article{c35578c238374464ba260335b14c62ba,
title = "Order problem for canonical systems and a conjecture of Valent",
abstract = "We establish a sharp upper estimate for the order of a canonical system in terms of the Hamiltonian. This upper estimate becomes an equality in the case of Krein strings. As an application we prove a conjecture of Valent about the order of a certain class of Jacobi matrices with polynomial coefficients.",
keywords = "Canonical systems, spectral asymptotics, Jacobi matrices, strings",
author = "R. Romanov",
year = "2017",
doi = "10.1090/tran6686",
language = "English",
volume = "369",
pages = "1061--1078",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Order problem for canonical systems and a conjecture of Valent

AU - Romanov, R.

PY - 2017

Y1 - 2017

N2 - We establish a sharp upper estimate for the order of a canonical system in terms of the Hamiltonian. This upper estimate becomes an equality in the case of Krein strings. As an application we prove a conjecture of Valent about the order of a certain class of Jacobi matrices with polynomial coefficients.

AB - We establish a sharp upper estimate for the order of a canonical system in terms of the Hamiltonian. This upper estimate becomes an equality in the case of Krein strings. As an application we prove a conjecture of Valent about the order of a certain class of Jacobi matrices with polynomial coefficients.

KW - Canonical systems

KW - spectral asymptotics

KW - Jacobi matrices

KW - strings

U2 - 10.1090/tran6686

DO - 10.1090/tran6686

M3 - Article

VL - 369

SP - 1061

EP - 1078

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 2

ER -

ID: 7736230