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

Published 16 Oct 2012 in math.AP | (1210.4433v1)

Abstract: The convergence of double 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 Fourier series of functions of bounded partial $\Lambda$-variation.

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