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

M. I. Dyachenko; K. S. Kazarian

Studia Mathematica (2003)

- Volume: 159, Issue: 1, page 33-50
- ISSN: 0039-3223

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topM. 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 -

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