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Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 3, Pages 397–410
DOI: https://doi.org/10.1070/SM1983v045n03ABEH001014 (Mi sm2215) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Fourier transform of the characteristic function of a set, vanishing on an interval

P. P. Kargaev
English version PDF (818 kB) Citations (4) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1983v045n03ABEH001014
Abstract: A set $E$ with $0<\operatorname{mes}E<+\infty$ is constructed for which the Fourier transform of its characteristic function vanishes on an interval. The set is the union of a sequence of intervals whose lengths can be estimated asymptotically above and below. The construction is based on an infinite-dimensional version of the implicit function theorem.
Bibiography: 6 titles.
Received: 29.05.1981
Bibliographic databases:
UDC: 517.5
MSC: Primary 42A38; Secondary 26B10, 28A99, 30D60
Language: English
Original paper language: Russian
Citation: P. P. Kargaev, “The Fourier transform of the characteristic function of a set, vanishing on an interval”, Math. USSR-Sb., 45:3 (1983), 397–410
Citation in format AMSBIB
\Bibitem{Kar82}
\by P.~P.~Kargaev
\paper The Fourier transform of the characteristic function of a~set, vanishing on an~interval
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 3
\pages 397--410
\mathnet{http://mi.mathnet.ru//eng/sm2215}
\crossref{https://doi.org/10.1070/SM1983v045n03ABEH001014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=648415}
\zmath{https://zbmath.org/?q=an:0523.42005}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:566
    Russian version PDF:306
    English version PDF:16
    References:44
     
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