Armenian Journal of Mathematics http://armjmath.sci.am/index.php/ajm 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. National Academy of Sciences of Armenia en-US Armenian Journal of Mathematics 1829-1163 Uniqueness Theorems for Multiple Series by Vilenkin and Generalized Haar Systems http://armjmath.sci.am/index.php/ajm/article/view/169 <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> Karen Navasardyan ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2018-07-09 2018-07-09 10 6 1 15