Standard

Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum. / Кисляков, Сергей Витальевич; Перстнева, Полина Сергеевна.

In: Journal of Fourier Analysis and Applications, Vol. 27, No. 2, 33, 04.2021.

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

Harvard

Кисляков, СВ & Перстнева, ПС 2021, 'Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum', Journal of Fourier Analysis and Applications, vol. 27, no. 2, 33. https://doi.org/10.1007/s00041-021-09840-3

APA

Кисляков, С. В., & Перстнева, П. С. (2021). Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum. Journal of Fourier Analysis and Applications, 27(2), [33]. https://doi.org/10.1007/s00041-021-09840-3

Vancouver

Кисляков СВ, Перстнева ПС. Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum. Journal of Fourier Analysis and Applications. 2021 Apr;27(2). 33. https://doi.org/10.1007/s00041-021-09840-3

Author

Кисляков, Сергей Витальевич ; Перстнева, Полина Сергеевна. / Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum. In: Journal of Fourier Analysis and Applications. 2021 ; Vol. 27, No. 2.

BibTeX

@article{220946c8dcec4fb78714220ebe7bf720,
title = "Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum",
abstract = "Indicator functions mentioned in the title are constructed on an arbitrary nondiscrete locally compact Abelian group of finite dimension. Moreover, they can be obtained by small perturbation from any indicator function fixed beforehand. In the case of a noncompact group, the term “Fourier sums” should be understood as “partial Fourier integrals”. A certain weighted version of the result is also provided. This version leads to a new Men ′shov-type correction theorem. ",
keywords = "Uncertainty principle, Men{\textquoteleft}shov correction theorem, Thin spectrum, Men{\textquoteleft}shov correction theorem, Thin spectrum, Uncertainty principle, Primary 43A25, Men'shov correction theorem, 43A50",
author = "Кисляков, {Сергей Витальевич} and Перстнева, {Полина Сергеевна}",
year = "2021",
month = apr,
doi = "10.1007/s00041-021-09840-3",
language = "English",
volume = "27",
journal = "Journal of Fourier Analysis and Applications",
issn = "1069-5869",
publisher = "Birkhause Boston",
number = "2",

}

RIS

TY - JOUR

T1 - Indicator functions with uniformly bounded Fourier sums and large gaps in the spectrum

AU - Кисляков, Сергей Витальевич

AU - Перстнева, Полина Сергеевна

PY - 2021/4

Y1 - 2021/4

N2 - Indicator functions mentioned in the title are constructed on an arbitrary nondiscrete locally compact Abelian group of finite dimension. Moreover, they can be obtained by small perturbation from any indicator function fixed beforehand. In the case of a noncompact group, the term “Fourier sums” should be understood as “partial Fourier integrals”. A certain weighted version of the result is also provided. This version leads to a new Men ′shov-type correction theorem.

AB - Indicator functions mentioned in the title are constructed on an arbitrary nondiscrete locally compact Abelian group of finite dimension. Moreover, they can be obtained by small perturbation from any indicator function fixed beforehand. In the case of a noncompact group, the term “Fourier sums” should be understood as “partial Fourier integrals”. A certain weighted version of the result is also provided. This version leads to a new Men ′shov-type correction theorem.

KW - Uncertainty principle

KW - Men‘shov correction theorem

KW - Thin spectrum

KW - Men‘shov correction theorem

KW - Thin spectrum

KW - Uncertainty principle

KW - Primary 43A25

KW - Men'shov correction theorem

KW - 43A50

UR - http://www.scopus.com/inward/record.url?scp=85103937940&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8be9f217-e87e-3f82-a8d0-ea5cba3a11b0/

U2 - 10.1007/s00041-021-09840-3

DO - 10.1007/s00041-021-09840-3

M3 - Article

VL - 27

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869

IS - 2

M1 - 33

ER -

ID: 75798224