Вестник Московского Университета. Математика, Механика - Содержание

Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley systems}  / I. V. Polyakov. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 6. P. 3-8 [Moscow Univ. Math. Bulletin. Vol. 67, N 6, 2012.].

A rearranged Walsh system is considered in the paper. An example of a Fourier series from the class Lo(√ln+)L divergent almost everywhere is constructed.

Key words: Fourier series, Walsh system, Shipp's rearrangements of Walsh system, divergence almost everywhere.

№ 6/2012