The paper introduces a new concept of Λ-variation of multivariable functions and studies its relationship with the convergence of multidimensional Fourier series.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 2, pp. 163–173, February, 2015.
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Goginava, U., Sahakian, A. Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation. Ukr Math J 67, 186–198 (2015). https://doi.org/10.1007/s11253-015-1073-5
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DOI: https://doi.org/10.1007/s11253-015-1073-5