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On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class. / Петрова, Юлия Петровна.

In: Doklady Mathematics, Vol. 98, No. 1, 01.07.2018, p. 367-369.

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

Harvard

Петрова, ЮП 2018, 'On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class', Doklady Mathematics, vol. 98, no. 1, pp. 367-369. https://doi.org/10.1134/S1064562418050204

APA

Петрова, Ю. П. (2018). On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class. Doklady Mathematics, 98(1), 367-369. https://doi.org/10.1134/S1064562418050204

Vancouver

Петрова ЮП. On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class. Doklady Mathematics. 2018 Jul 1;98(1):367-369. https://doi.org/10.1134/S1064562418050204

Author

Петрова, Юлия Петровна. / On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class. In: Doklady Mathematics. 2018 ; Vol. 98, No. 1. pp. 367-369.

BibTeX

@article{bd8e3d4ddf124722bc9dd891750f5d3e,
title = "On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class",
abstract = "Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of Gaussian functions. As an example, Durbin processes appearing in the study of empirical processes with estimated parameters are considered.",
author = "Петрова, {Юлия Петровна}",
year = "2018",
month = jul,
day = "1",
doi = "10.1134/S1064562418050204",
language = "English",
volume = "98",
pages = "367--369",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class

AU - Петрова, Юлия Петровна

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of Gaussian functions. As an example, Durbin processes appearing in the study of empirical processes with estimated parameters are considered.

AB - Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of Gaussian functions. As an example, Durbin processes appearing in the study of empirical processes with estimated parameters are considered.

UR - http://www.scopus.com/inward/record.url?scp=85052862473&partnerID=8YFLogxK

U2 - 10.1134/S1064562418050204

DO - 10.1134/S1064562418050204

M3 - Article

AN - SCOPUS:85052862473

VL - 98

SP - 367

EP - 369

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 1

ER -

ID: 35814845