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On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight. / Rastegaev, N.

в: Journal of Spectral Theory, Том 14, № 4, 09.10.2024, стр. 1311-1335.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Rastegaev, N 2024, 'On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight', Journal of Spectral Theory, Том. 14, № 4, стр. 1311-1335. https://doi.org/10.4171/jst/528

APA

Rastegaev, N. (2024). On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight. Journal of Spectral Theory, 14(4), 1311-1335. https://doi.org/10.4171/jst/528

Vancouver

Rastegaev N. On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight. Journal of Spectral Theory. 2024 Окт. 9;14(4):1311-1335. https://doi.org/10.4171/jst/528

Author

Rastegaev, N. / On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight. в: Journal of Spectral Theory. 2024 ; Том 14, № 4. стр. 1311-1335.

BibTeX

@article{9b6050074d804555a459f1e6f7d4fd25,
title = "On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight",
abstract = "We consider the spectral asymptotics of the Sturm-Liouville problem with an arithmetically self-similar singular weight. In previous papers, A. A. Vladimirov and I. A. She.ıpak, as well as the author, relied on the spectral periodicity property, which places major constraints on the self-similarity parameters of the weight. In this study, a different approach to estimation of the eigenvalue counting function is presented. As a result, a significantly wider class of self-similar measures can be considered. The obtained asymptotics are applied to the problem of small ball deviations for the Green Gaussian processes. {\textcopyright} 2024 European Mathematical Society.",
keywords = "Green Gaussian process, self-similar measure, singular measure, small ball deviations, spectral asymptotics, Sturm-Liouville equation",
author = "N. Rastegaev",
note = "Export Date: 18 November 2024 Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 06/04/2022 Текст о финансировании 1: Funding. This work was performed at the Saint Petersburg Leonhard Euler International Mathematical Institute and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no.075-15-2022-289 date 06/04/2022).",
year = "2024",
month = oct,
day = "9",
doi = "10.4171/jst/528",
language = "Английский",
volume = "14",
pages = "1311--1335",
journal = "Journal of Spectral Theory",
issn = "1664-039X",
publisher = "European Mathematical Society Publishing House",
number = "4",

}

RIS

TY - JOUR

T1 - On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight

AU - Rastegaev, N.

N1 - Export Date: 18 November 2024 Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 06/04/2022 Текст о финансировании 1: Funding. This work was performed at the Saint Petersburg Leonhard Euler International Mathematical Institute and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no.075-15-2022-289 date 06/04/2022).

PY - 2024/10/9

Y1 - 2024/10/9

N2 - We consider the spectral asymptotics of the Sturm-Liouville problem with an arithmetically self-similar singular weight. In previous papers, A. A. Vladimirov and I. A. She.ıpak, as well as the author, relied on the spectral periodicity property, which places major constraints on the self-similarity parameters of the weight. In this study, a different approach to estimation of the eigenvalue counting function is presented. As a result, a significantly wider class of self-similar measures can be considered. The obtained asymptotics are applied to the problem of small ball deviations for the Green Gaussian processes. © 2024 European Mathematical Society.

AB - We consider the spectral asymptotics of the Sturm-Liouville problem with an arithmetically self-similar singular weight. In previous papers, A. A. Vladimirov and I. A. She.ıpak, as well as the author, relied on the spectral periodicity property, which places major constraints on the self-similarity parameters of the weight. In this study, a different approach to estimation of the eigenvalue counting function is presented. As a result, a significantly wider class of self-similar measures can be considered. The obtained asymptotics are applied to the problem of small ball deviations for the Green Gaussian processes. © 2024 European Mathematical Society.

KW - Green Gaussian process

KW - self-similar measure

KW - singular measure

KW - small ball deviations

KW - spectral asymptotics

KW - Sturm-Liouville equation

UR - https://www.mendeley.com/catalogue/15ca89a9-8764-3da5-8193-770a4b3989ad/

U2 - 10.4171/jst/528

DO - 10.4171/jst/528

M3 - статья

VL - 14

SP - 1311

EP - 1335

JO - Journal of Spectral Theory

JF - Journal of Spectral Theory

SN - 1664-039X

IS - 4

ER -

ID: 127408709