Geodesic
Convergence and uniform convergence of Fourier series
Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 379-392

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We prove theorems on the convergence and uniform convergence of the Fourier series of periodic functions at a point under local and global hypotheses on the functions. The results are extended to uniform convergence and convergence almost everywhere. 
@article{IM2_1971_5_2_a5,
     author = {A. A. Zakharov},
     title = {Convergence and uniform convergence of {Fourier} series},
     journal = {Izvestiya. Mathematics },
     pages = {379--392},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a5/}
}
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A. A. Zakharov. Convergence and uniform convergence of Fourier series. Izvestiya. Mathematics , Tome 5 (1971) no. 2, pp. 379-392. http://geodesic.mathdoc.fr/item/IM2_1971_5_2_a5/