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A Remark on Indicator Functions with Gaps in the Spectrum. / Kislyakov, S. V.

In: Journal of Mathematical Sciences (United States), Vol. 243, No. 6, 01.12.2019, p. 895-899.

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

Harvard

Kislyakov, SV 2019, 'A Remark on Indicator Functions with Gaps in the Spectrum', Journal of Mathematical Sciences (United States), vol. 243, no. 6, pp. 895-899. https://doi.org/10.1007/s10958-019-04589-z

APA

Kislyakov, S. V. (2019). A Remark on Indicator Functions with Gaps in the Spectrum. Journal of Mathematical Sciences (United States), 243(6), 895-899. https://doi.org/10.1007/s10958-019-04589-z

Vancouver

Kislyakov SV. A Remark on Indicator Functions with Gaps in the Spectrum. Journal of Mathematical Sciences (United States). 2019 Dec 1;243(6):895-899. https://doi.org/10.1007/s10958-019-04589-z

Author

Kislyakov, S. V. / A Remark on Indicator Functions with Gaps in the Spectrum. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 243, No. 6. pp. 895-899.

BibTeX

@article{1ff35da18ecd44f2a4f55baee0a27d47,
title = "A Remark on Indicator Functions with Gaps in the Spectrum",
abstract = "Developing a recent result of F. Nazarov and A. Olevskii, we show that for every subset a in ℝ of finite measure and every ε > 0 there exists b ⊂ ℝ with |b| = |a| and |(b \ a) ∪ (a \ b)|≤ε such that the spectrum of χb is fairly thin. A generalization to locally compact Abelian groups is also provided.",
author = "Kislyakov, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = dec,
day = "1",
doi = "10.1007/s10958-019-04589-z",
language = "English",
volume = "243",
pages = "895--899",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - A Remark on Indicator Functions with Gaps in the Spectrum

AU - Kislyakov, S. V.

N1 - Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - Developing a recent result of F. Nazarov and A. Olevskii, we show that for every subset a in ℝ of finite measure and every ε > 0 there exists b ⊂ ℝ with |b| = |a| and |(b \ a) ∪ (a \ b)|≤ε such that the spectrum of χb is fairly thin. A generalization to locally compact Abelian groups is also provided.

AB - Developing a recent result of F. Nazarov and A. Olevskii, we show that for every subset a in ℝ of finite measure and every ε > 0 there exists b ⊂ ℝ with |b| = |a| and |(b \ a) ∪ (a \ b)|≤ε such that the spectrum of χb is fairly thin. A generalization to locally compact Abelian groups is also provided.

UR - http://www.scopus.com/inward/record.url?scp=85075043074&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04589-z

DO - 10.1007/s10958-019-04589-z

M3 - Article

AN - SCOPUS:85075043074

VL - 243

SP - 895

EP - 899

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 75764012