Divergent orthogonal Fourier series
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 355-377

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The author finds a sharp lower bound for the maximal measure of sets on which a Fourier series expansion in a uniformly bounded complete orthonormal system diverges.
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     author = {K. S. Kazarian},
     title = {Divergent orthogonal {Fourier} series},
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K. S. Kazarian. Divergent orthogonal Fourier series. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 355-377. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a3/