Geodesic
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

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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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     author = {A. M. Sedletskii},
     title = {Approximation by translates and completeness of weighted systems of exponential functions in~$L^2(\mathbf R)$},
     journal = {Sbornik. Mathematics},
     pages = {91--106},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1985_51_1_a5/}
}
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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/