A~new correction theorem
Izvestiya. Mathematics , Tome 24 (1985) no. 2, pp. 283-305
Voir la notice de l'article provenant de la source Math-Net.Ru
The author proves an analogue of Men'shov's theorem (on correction up to a function with uniformly convergent Fourier series) for an arbitrary locally compact Abelian group of finite topological dimension. The spectrum of the corrected function can be placed in a prescribed “sparse” set.
Bibliography: 11 titles.
@article{IM2_1985_24_2_a3,
author = {S. V. Kislyakov},
title = {A~new correction theorem},
journal = {Izvestiya. Mathematics },
pages = {283--305},
publisher = {mathdoc},
volume = {24},
number = {2},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1985_24_2_a3/}
}
S. V. Kislyakov. A~new correction theorem. Izvestiya. Mathematics , Tome 24 (1985) no. 2, pp. 283-305. http://geodesic.mathdoc.fr/item/IM2_1985_24_2_a3/