Armenian Journal of Mathematics 2018-07-09T20:17:35+00:00 Anry Nersessian Open Journal Systems Armenian Journal of Mathematics Armen.J.Math., original research papers, survey articles, areas of mathematics, theoretical mathematics, applications, review articles, short communications, conference proceedings, algorithms, Ph.D and doctoral thesis’s. Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems 2018-07-09T20:17:35+00:00 Karen Navasardyan <p>In this paper we discuss the uniqueness property of a summation method for multiple series with respect to Vilenkin and generalized Haar systems. It is proved that if the multiple series with respect to these systems is a.e. summable by that method to an integrable function on $[0,1)^d$ and satisfies an extra condition, then it is the Fourier series of this function.&nbsp;</p> 2018-07-09T08:42:26+00:00 ##submission.copyrightStatement##