Geodesic
Continuous measures with large partial sums
Algebra i analiz, Tome 13 (2001) no. 3, pp. 171-178.

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It is proved that, in a weak sense, every measure in $M(\mathbb T)$ supported by a sufficiently singular Cantor set has asymptotically large Fourier partial sums. It is also shown that every measure in $M(\mathbb T)$ whose Fourier partial sums satisfy a mild growth condition has nontrivial null sets.
Keywords: Dirichlet kernel, Lebesgue constants, Cantor sets. 
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     author = {A. Olofsson},
     title = {Continuous measures with large partial sums},
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A. Olofsson. Continuous measures with large partial sums. Algebra i analiz, Tome 13 (2001) no. 3, pp. 171-178. http://geodesic.mathdoc.fr/item/AA_2001_13_3_a8/