Geodesic
$\lambda$-Convergence of Multiple Walsh--Paley Series and Sets of Uniqueness
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 292-301

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$\lambda$-convergent multiple Walsh–Paley series on a multidimensional dyadic group are studied. It is proved that, for all $\lambda>1$, any arbitrary finite union of hyperplanes parallel to coordinate hyperplanes is a set of uniqueness for such series.
Keywords: Walsh system, multiple Walsh series, set of uniqueness, quasi-measure.
Mots-clés : dyadic group, $\lambda$-convergence 
@article{MZM_2017_102_2_a10,
     author = {M. G. Plotnikov},
     title = {$\lambda${-Convergence} of {Multiple} {Walsh--Paley} {Series} and {Sets} of {Uniqueness}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {292--301},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a10/}
}
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M. G. Plotnikov. $\lambda$-Convergence of Multiple Walsh--Paley Series and Sets of Uniqueness. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 292-301. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a10/