RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 6, Pages 9–12 (Mi vmumm822)

Mathematics

Example of divergent Fourier series over rearranged Walsh–Paley system

I. V. Polyakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.5

Received: 26.06.2009



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026