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Summability of multiple Fourier series of functions of bounded generalized variation |
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| Authors: | U. Goginava A. Sahakian |
| Affiliation: | 16604. I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, University str. 2, Tbilisi, 0186, Georgia 26604. Faculty of Mathematics and Mechanics, Yerevan State University, Alex Manoogian str. 1, Yerevan, 0025, Armenia |
| Abstract: | The paper is devoted to summability problems for multiple Fourier series of functions of bounded generalized variation. We find necessary and sufficient conditions on a sequence Λ = {λ n } that guarantee the convergence of the Cesàro means of multiple Fourier series of functions of bounded Λ-variation. |
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