Geodesic
Change of variable and the rapidity of decrease of Fourier coefficients
Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 541-555

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We consider the class $C(T)$ of continuous real-valued functions on the circle. We investigate the possibility of carrying, by a simultaneous change of variable, families of functions in $C(T)$ to classes of functions selected in a natural way for the rapidity of decrease of their Fourier coefficients. 
@article{SM_1991_70_2_a11,
     author = {V. V. Lebedev},
     title = {Change of variable and the rapidity of decrease of {Fourier} coefficients},
     journal = {Sbornik. Mathematics},
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     publisher = {mathdoc},
     volume = {70},
     number = {2},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1991_70_2_a11/}
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V. V. Lebedev. Change of variable and the rapidity of decrease of Fourier coefficients. Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 541-555. http://geodesic.mathdoc.fr/item/SM_1991_70_2_a11/