Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 211-220
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S. V. Bochkarev. Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 211-220. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a12/
@article{MZM_1968_4_2_a12,
author = {S. V. Bochkarev},
title = {Unconditional convergence almost everywhere of {Fourier} series of continuous functions in the {Haar} system},
journal = {Matemati\v{c}eskie zametki},
pages = {211--220},
year = {1968},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a12/}
}
TY - JOUR
AU - S. V. Bochkarev
TI - Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system
JO - Matematičeskie zametki
PY - 1968
SP - 211
EP - 220
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a12/
LA - ru
ID - MZM_1968_4_2_a12
ER -
%0 Journal Article
%A S. V. Bochkarev
%T Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system
%J Matematičeskie zametki
%D 1968
%P 211-220
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a12/
%G ru
%F MZM_1968_4_2_a12
A continuous function is constructed whose Haar-Fourier series, after a definite rearrangement of its terms, diverges almost everywhere. A function is also constructed which has the maximum degree of smoothness in the sense that if its smoothness is increased its Haar-Fourier series becomes unconditionally convergent almost everywhere.
