Geodesic
On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 604-608

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We present a necessary and sufficient condition for the series of absolute values of blocks of Fourier series elements and blocks of series of summands in Parseval's identity to converge in the class of two-variable functions of bounded variation in the sense of Hardy.
Keywords: functions of bounded variation in two variables, Parseval's identity.
Mots-clés : Fourier coefficients 
@article{MZM_2018_103_4_a11,
     author = {S. A. Telyakovskii},
     title = {On the {Convergence} of {Block} {Fourier} {Series} of {Functions} of {Bounded} {Variation} in {Two} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {604--608},
     publisher = {mathdoc},
     volume = {103},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a11/}
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S. A. Telyakovskii. On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 604-608. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a11/