On the convergence of multiple Fourier series of functions of bounded partial generalized variation

Ushangi Goginava, Artur Sahakian

Published 2012-10-16Version 1

The convergence of multiple Fourier series of functions of bounded partial $% \Lambda$-variation is investigated. The sufficient and necessary conditions on the sequence $\Lambda=\{\lambda_n\}$ are found for the convergence of multiple Fourier series of functions of bounded partial $\Lambda$-variation.