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Mate–Nevai–Totik Theorem for Krein Systems. / Gubkin, Pavel.

In: Integral Equations and Operator Theory, Vol. 93, No. 3, 33, 06.2021.

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

Harvard

Gubkin, P 2021, 'Mate–Nevai–Totik Theorem for Krein Systems', Integral Equations and Operator Theory, vol. 93, no. 3, 33. https://doi.org/10.1007/s00020-021-02650-8

APA

Gubkin, P. (2021). Mate–Nevai–Totik Theorem for Krein Systems. Integral Equations and Operator Theory, 93(3), [33]. https://doi.org/10.1007/s00020-021-02650-8

Vancouver

Gubkin P. Mate–Nevai–Totik Theorem for Krein Systems. Integral Equations and Operator Theory. 2021 Jun;93(3). 33. https://doi.org/10.1007/s00020-021-02650-8

Author

Gubkin, Pavel. / Mate–Nevai–Totik Theorem for Krein Systems. In: Integral Equations and Operator Theory. 2021 ; Vol. 93, No. 3.

BibTeX

@article{22b750a3e22144ab95e39c4c064b4cb6,
title = "Mate–Nevai–Totik Theorem for Krein Systems",
abstract = "We prove the Cesaro boundedness of eigenfunctions of the Dirac operator on the half-line with a square-summable potential. The proof is based on the theory of Krein systems and, in particular, on the continuous version of a theorem by A. Mate, P. Nevai and V. Totik from 1991.",
keywords = "Dirac operator, Krein system, Orthogonal polynomials, Szeg{\H o} class, Szeg class, DIMENSIONAL SCHRODINGER-OPERATORS, ORTHOGONAL POLYNOMIALS, WAVE-OPERATORS, SCATTERING",
author = "Pavel Gubkin",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2021",
month = jun,
doi = "10.1007/s00020-021-02650-8",
language = "English",
volume = "93",
journal = "Integral Equations and Operator Theory",
issn = "0378-620X",
publisher = "Birkh{\"a}user Verlag AG",
number = "3",

}

RIS

TY - JOUR

T1 - Mate–Nevai–Totik Theorem for Krein Systems

AU - Gubkin, Pavel

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

PY - 2021/6

Y1 - 2021/6

N2 - We prove the Cesaro boundedness of eigenfunctions of the Dirac operator on the half-line with a square-summable potential. The proof is based on the theory of Krein systems and, in particular, on the continuous version of a theorem by A. Mate, P. Nevai and V. Totik from 1991.

AB - We prove the Cesaro boundedness of eigenfunctions of the Dirac operator on the half-line with a square-summable potential. The proof is based on the theory of Krein systems and, in particular, on the continuous version of a theorem by A. Mate, P. Nevai and V. Totik from 1991.

KW - Dirac operator

KW - Krein system

KW - Orthogonal polynomials

KW - Szegő class

KW - Szeg class

KW - DIMENSIONAL SCHRODINGER-OPERATORS

KW - ORTHOGONAL POLYNOMIALS

KW - WAVE-OPERATORS

KW - SCATTERING

UR - http://www.scopus.com/inward/record.url?scp=85107133793&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e9092c91-82e3-3c64-bdab-417aa97685b1/

U2 - 10.1007/s00020-021-02650-8

DO - 10.1007/s00020-021-02650-8

M3 - Article

AN - SCOPUS:85107133793

VL - 93

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

SN - 0378-620X

IS - 3

M1 - 33

ER -

ID: 85230650