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. 72, N 2, 2017. 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.