Geodesic
Absolute convergence of Fourier series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation
Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 419-429

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We study problems of the absolute convergence of Fourier series with respect to general orthonormal systems for functions in certain classes.
Keywords: Fourier series, function of bounded variation, orthonormal system.
Mots-clés : Fourier coefficients 
@article{IM2_2012_76_2_a8,
     author = {V. Sh. Tsagareishvili},
     title = {Absolute convergence of {Fourier} series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation},
     journal = {Izvestiya. Mathematics },
     pages = {419--429},
     publisher = {mathdoc},
     volume = {76},
     number = {2},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a8/}
}
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V. Sh. Tsagareishvili. Absolute convergence of Fourier series of functions of class $\operatorname{Lip}1$ and of functions of bounded variation. Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 419-429. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a8/