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

О сходимости кратных рядов Фурье функций ограниченной частной обобщённой вариации

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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.

Резюме

Изучается сходимость кратных рядов Фурье функций ограниченной частной обобщённой Λ-вариации. Найдены необходимые и достаточные условия на последовательность Λ = {λ n } для сходимости кратных рядов Фурье функций ограниченной частной Λ-вариации.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Exact and Natural Sciences, Iv. Javakhishvili Tbilisi State University, Chavchavadze str. 1, Tbilisi, 0128, Georgia

    Ushangi Goginava

  2. Faculty of Mathematics and Mechanics, Yerevan State University, Alex Manoukian str. 1, Yerevan, 0025, Armenia

    Artur Sahakian

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  1. Ushangi Goginava
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  2. Artur Sahakian
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Correspondence to Ushangi Goginava.

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Goginava, U., Sahakian, A. On the convergence of multiple Fourier series of functions of bounded partial generalized variation. Anal Math 39, 45–56 (2013). https://doi.org/10.1007/s10476-013-0103-5

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  • DOI: https://doi.org/10.1007/s10476-013-0103-5

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