Approximation by translates and completeness of weighted systems of exponential functions in $L^2(\mathbf R)$
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 91-106 Cet article a éte moissonné depuis la source Math-Net.Ru

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Both necessary conditions and sufficient conditions on a sequence $\lambda_n\in\mathbf R$ are found for the family of translates $f(t-\lambda_n)$ of an $L^2$-function whose Fourier transform is almost everywhere nonzero and rapidly decreasing to be dense in $L^2(\mathbf R)$. Bibliography: 9 titles.
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A. M. Sedletskii. Approximation by translates and completeness of weighted systems of exponential functions in $L^2(\mathbf R)$. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 91-106. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a5/

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