Geodesic
Density of sums of shifts of a single vector in sequence spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 39-44

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We prove that in the real space $l_2(\mathbb Z)$ of two-sided sequences there is an element such that the sums of its shifts are dense in all real spaces $l_p(\mathbb Z)$, $2\le p\infty $, as well as in the real space $c_0(\mathbb Z)$.
Keywords: shift, two-sided sequences, approximation
Mots-clés : Fourier coefficients. 
@article{TM_2018_303_a3,
     author = {P. A. Borodin},
     title = {Density of sums of shifts of a single vector in sequence spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {39--44},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_303_a3/}
}
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P. A. Borodin. Density of sums of shifts of a single vector in sequence spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 39-44. http://geodesic.mathdoc.fr/item/TM_2018_303_a3/