Geodesic
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. 
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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/

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