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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
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
Citation:
R. S. Yulmukhametov, “Splitting entire functions with zeros in a strip”, Sb. Math., 186:7 (1995), 1071–1084
Linking options:
https://www.mathnet.ru/eng/sm57https://doi.org/10.1070/SM1995v186n07ABEH000057 https://www.mathnet.ru/eng/sm/v186/i7/p147
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Abstract page: | 361 | Russian version PDF: | 124 | English version PDF: | 21 | References: | 62 | First page: | 1 |
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