Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation

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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Bibliographic Details
Date:2015
Main Authors: Goginava, U., Sahakian, A., Гогінава, У., Сахакян, А.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1971
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:The paper introduces a new concept of Λ-variation of multivariable functions and studies its relationship with the convergence of multidimensional Fourier series.