A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series

M. I. Dyachenko, and K. S. Kazarian. "A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series." Studia Mathematica 159.1 (2003): 33-50. <http://eudml.org/doc/284676>.

@article{M2003,
abstract = {The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the m-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called G-convergence and λ-restricted convergence. We continue the study begun in a previous work.},
author = {M. I. Dyachenko, K. S. Kazarian},
journal = {Studia Mathematica},
keywords = {orthonormal system; orthogonal Fourier series; set of divergence; measure},
language = {eng},
number = {1},
pages = {33-50},
title = {A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series},
url = {http://eudml.org/doc/284676},
volume = {159},
year = {2003},
}

TY - JOUR
AU - M. I. Dyachenko
AU - K. S. Kazarian
TI - A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 1
SP - 33
EP - 50
AB - The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the m-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called G-convergence and λ-restricted convergence. We continue the study begun in a previous work.
LA - eng
KW - orthonormal system; orthogonal Fourier series; set of divergence; measure
UR - http://eudml.org/doc/284676
ER -