Geodesic
On the Uniqueness Sets of Multiple Walsh Series for Convergence in Cubes
Matematičeskie zametki, Tome 109 (2021) no. 3, pp. 397-406

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Let $G^d$ be a power of the Cantor binary group $G$. The uniqueness problem for a multiple Walsh series on a power of the binary group in the case of convergence in cubes is discussed. It is proved that if $x\in G^{d-1}$, then $G\times \{x\}$ is the uniqueness set of a $d$-dimensional Walsh series in the case of convergence in cubes.
Keywords: multiple Walsh series, uniqueness set.
Mots-clés : convergence in cubes 
@article{MZM_2021_109_3_a6,
     author = {S. F. Lukomskii},
     title = {On the {Uniqueness} {Sets} of {Multiple} {Walsh} {Series} for {Convergence} in {Cubes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {397--406},
     publisher = {mathdoc},
     volume = {109},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_3_a6/}
}
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S. F. Lukomskii. On the Uniqueness Sets of Multiple Walsh Series for Convergence in Cubes. Matematičeskie zametki, Tome 109 (2021) no. 3, pp. 397-406. http://geodesic.mathdoc.fr/item/MZM_2021_109_3_a6/