Geodesic
On approximation properties of one trigonometric system
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 13-25

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We obtain the criteria of completeness and minimality of a system. We also obtain an analog of the Paley–Wiener theorem related to this system.
Keywords: Paley–Wiener theorem, complete system, minimal system. 
@article{IVM_2014_11_a1,
     author = {B. V. Vinnitskii and V. N. Dilnyi},
     title = {On approximation properties of one trigonometric system},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--25},
     publisher = {mathdoc},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a1/}
}
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B. V. Vinnitskii; V. N. Dilnyi. On approximation properties of one trigonometric system. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 13-25. http://geodesic.mathdoc.fr/item/IVM_2014_11_a1/