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[en] We consider Walsh functions on the binary group G and study uniqueness sets for N-fold multiple Walsh series under convergence over cubes (in other words, UN,cube-sets). We prove that every finite set is a UN,cube-set, construct examples of countable UN,cube-sets and non-empty perfect UN,cube-sets, and give an example of a UN,cube-set having the maximum possible Hausdorff dimension
Journal
Izvestiya. Mathematics; ISSN 1064-5632; 
; v. 71(1); p. 57-73
; v. 71(1); p. 57-73