Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley system
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 3-8
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A rearranged Walsh system is considered in the paper. An example of a Fourier series from the class $Lo(\sqrt{\ln^{+}})L$ divergent almost everywhere is constructed.
@article{VMUMM_2012_6_a0,
author = {I. V. Polyakov},
title = {Examples of divergent {Fourier} series for a wide class of rearranged {Walsh--Paley} system},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {3--8},
publisher = {mathdoc},
number = {6},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a0/}
}
TY - JOUR AU - I. V. Polyakov TI - Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley system JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2012 SP - 3 EP - 8 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a0/ LA - ru ID - VMUMM_2012_6_a0 ER -
I. V. Polyakov. Examples of divergent Fourier series for a wide class of rearranged Walsh--Paley system. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2012), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2012_6_a0/