Geodesic
Uniqueness sets for multiple Haar series
Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 789-798

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Criteria are found for the membership of multidimensional sets in the class of $M$-sets for multiple Haar series with various conditions imposed on the coefficients. Several generalizations of the uniqueness theorem are established. 
@article{MZM_1973_14_6_a2,
     author = {V. A. Skvortsov},
     title = {Uniqueness sets for multiple {Haar} series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {789--798},
     publisher = {mathdoc},
     volume = {14},
     number = {6},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a2/}
}
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V. A. Skvortsov. Uniqueness sets for multiple Haar series. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 789-798. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a2/