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 
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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/

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