Geodesic
Methods of summability of trigonometric series and function spaces
Sbornik. Mathematics, Tome 193 (2002) no. 4, pp. 487-506 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions for a trigonometric series to be the Fourier series of a function in the spaces $C(\mathbb T)$, $L^p(\mathbb T)$ with $p\in[1,\infty]$ and $\operatorname{BMO}(\mathbb T)$, $L_\Phi^*(\mathbb T)$ are presented. 
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     author = {I. N. Brui},
     title = {Methods of summability of trigonometric series and function spaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_4_a1/}
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I. N. Brui. Methods of summability of trigonometric series and function spaces. Sbornik. Mathematics, Tome 193 (2002) no. 4, pp. 487-506. http://geodesic.mathdoc.fr/item/SM_2002_193_4_a1/

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