Geodesic
On an orthogonal trigonometric basis
Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 363-372

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An orthogonal trigonometric basis $\{P_k\}_{|k|=1}^\infty$ in the space $C[0,2\pi)$ is constructed whose degrees have growth rate $$ \deg P_k\leqslant\frac 83|k|. $$ 
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     author = {Al. A. Privalov},
     title = {On an orthogonal trigonometric basis},
     journal = {Sbornik. Mathematics},
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     volume = {72},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_72_2_a4/}
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Al. A. Privalov. On an orthogonal trigonometric basis. Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 363-372. http://geodesic.mathdoc.fr/item/SM_1992_72_2_a4/