Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 3-12
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S. L. Donskikh. Multiple Fourier series for functions from a Zygmund class. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2010), pp. 3-12. http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a0/
@article{VMUMM_2010_1_a0,
author = {S. L. Donskikh},
title = {Multiple {Fourier} series for functions from a {Zygmund} class},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {3--12},
year = {2010},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a0/}
}
TY - JOUR
AU - S. L. Donskikh
TI - Multiple Fourier series for functions from a Zygmund class
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 3
EP - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a0/
LA - ru
ID - VMUMM_2010_1_a0
ER -
%0 Journal Article
%A S. L. Donskikh
%T Multiple Fourier series for functions from a Zygmund class
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 3-12
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_1_a0/
%G ru
%F VMUMM_2010_1_a0
The paper concerns with necessary and sufficient conditions providing that a function of many variables with nonnegative trigonometric Fourier coefficients velongs to the big and small Zygmund classes. Earler, such a result was obtained by R. P. Boas in the one-dimensional case and by V. Fulop in the two-dimensional case.
