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

2012/10/16 by Ushangi Goginava, Goginava, Ushangi, Artur Sahakian +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1210.4440

arXiv admin note: text overlap with arXiv:1210.2079

arxiv created 2012/10/16 · arxiv updated 2012/10/17

Abstract

The convergence of multiple Fourier series of functions of bounded partial % Λ-variation is investigated. The sufficient and necessary conditions on the sequence Λ=\λ_n\ are found for the convergence of multiple Fourier series of functions of bounded partial Λ-variation.

Citations

• Convergence of multiple Fourier series of functions of bounded generalized variation

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