N. S. Moreva, “Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes”, Mat. Zametki, 2007, Volume 81, Issue 4,Pages <nobr>586

This article is cited in 2 papers

Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes

N. S. Moreva

Saratov State University named after N. G. Chernyshevsky

Abstract: We consider uniqueness problems for multiple Walsh series convergent on binary cubes on a multidimensional binary group. We find conditions under which a given finite or countable set is a set of uniqueness.

Keywords: multiple Walsh series, convergence on binary cubes, multidimensional binary group, uniqueness group, uniqueness set, index set.

UDC: 517.51

Received: 07.06.2006
Revised: 25.10.2006

DOI: 10.4213/mzm3701