Geodesic
Completeness of the Trigonometric System for the Classes~$\varphi(L)$
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 707-712

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We obtain a necessary and sufficient condition for the completeness of the trigonometric system with gaps for the classes $\varphi(L)$.
Keywords: trigonometric system with gaps, $2\pi$-periodic function, Jensen's inequality, trigonometric polynomial, Parseval's equality, Riesz–Fischer theorem. 
@article{MZM_2007_81_5_a7,
     author = {Yu. S. Kolomoitsev},
     title = {Completeness of the {Trigonometric} {System} for the {Classes~}$\varphi(L)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {707--712},
     publisher = {mathdoc},
     volume = {81},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a7/}
}
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Yu. S. Kolomoitsev. Completeness of the Trigonometric System for the Classes~$\varphi(L)$. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 707-712. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a7/