Geodesic
Functions universal with respect to the trigonometric system
Izvestiya. Mathematics , Tome 85 (2021) no. 2, pp. 241-261

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We construct an integrable function whose Fourier series possesses the following property. After an appropriate choice of signs of the coefficients of this series, the partial sums of the resulting series are dense in $L^p$, $p\in(0,1)$.
Keywords: universal function, universal trigonometric series, Fourier series
Mots-clés : convergence in $L^p$. 
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     author = {M. G. Grigoryan and L. N. Galoyan},
     title = {Functions universal with respect to the trigonometric system},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_2_a2/}
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M. G. Grigoryan; L. N. Galoyan. Functions universal with respect to the trigonometric system. Izvestiya. Mathematics , Tome 85 (2021) no. 2, pp. 241-261. http://geodesic.mathdoc.fr/item/IM2_2021_85_2_a2/