Abstract:
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 $L(\ln^{+}\ln^{+})^{1-\epsilon}L$ divergent almost everywhere is conctructed for the systems obtained here.
Key words:Fourier series, Walsh system, rearranged Walsh system, Shipp's rearrangments of Walsh system, divergence almost everywhere.