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Example of Divergent Fourier Series over Rearranged Walsh-Paley System / Polyakov I.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 6. P. 9-12 [Moscow Univ. Math. Bulletin. Vol. 65, No 6, 2010. P. 229-232]. A specially chosen class of Shipp's rearrangements of the Walsh system is considered in the paper. An example of a Fourier series from the class L (ln+ ln+)1 - ε L divergent almost everywhere is constructed for the systems obtained here.
Key words: Fourier series, Walsh system, rearranged Walsh system, Shipp's
rearrangments of Walsh system, divergence almost everywhere.
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