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Sbornik: Mathematics, 1995, Volume 186, Issue 7, Pages 1071–1084
DOI: https://doi.org/10.1070/SM1995v186n07ABEH000057 (Mi sm57) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Splitting entire functions with zeros in a strip

R. S. Yulmukhametov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (490 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1995v186n07ABEH000057
Abstract: The following result is proved. If $\varphi$ is a smooth function with support in the interval $[-N, N]$ and if all the zeros of its Fourier transform
$$ \widehat\varphi(\lambda)=\int e^{\mathrm i\lambda t}\varphi(t)\,dt $$
are in some horizontal strip, then $\varphi$ can be represented as a convolution of two smooth functions with supports in the interval $[-N/2, N/2]$.
Received: 06.04.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 7, Pages 147–160
Bibliographic databases:
UDC: 517.5
MSC: 34A45, 30D15, 30D20
Language: English
Original paper language: Russian
Citation: R. S. Yulmukhametov, “Splitting entire functions with zeros in a strip”, Mat. Sb., 186:7 (1995), 147–160; Sb. Math., 186:7 (1995), 1071–1084
Citation in format AMSBIB
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\by R.~S.~Yulmukhametov
\paper Splitting entire functions with zeros in a strip
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 7
\pages 147--160
\mathnet{http://mi.mathnet.ru/sm57}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1355460}
\zmath{https://zbmath.org/?q=an:0865.46029}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 7
\pages 1071--1084
\crossref{https://doi.org/10.1070/SM1995v186n07ABEH000057}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TX11200009}
Linking options:
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  • https://doi.org/10.1070/SM1995v186n07ABEH000057
  • https://www.mathnet.ru/eng/sm/v186/i7/p147
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:329
    Russian version PDF:118
    English version PDF:15
    References:48
    First page:1
     
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