On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 10-18

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Estimates of trigonometric Fourier coefficients are obtained for functions from classes of bounded many-dimensional $\Lambda$-variation and functions continuous in $\Lambda$-variation. In some cases it is proved that these estimates are unimprovable by the order.
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     author = {A. N. Bakhvalov},
     title = {On the {Fourier} coefficients of functions from multidimensional bounded $\Lambda$-variation classes},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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A. N. Bakhvalov. On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 10-18. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a1/