Determination of the jump of a function of bounded $p$-variation by its Fourier series
Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 19-28
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A formula is obtained for the jump of a function of bounded $p$-variation at a given point in terms of derivatives of partial sums of its Fourier series.
@article{MZM_1972_12_1_a2,
author = {B. I. Golubov},
title = {Determination of the jump of a function of bounded $p$-variation by its {Fourier} series},
journal = {Matemati\v{c}eskie zametki},
pages = {19--28},
year = {1972},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a2/}
}
B. I. Golubov. Determination of the jump of a function of bounded $p$-variation by its Fourier series. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 19-28. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a2/