Absolute convergence of multiple Fourier series revisited

DOI10.1007/S10476-008-0205-7zbMath1174.42002OpenAlexW1551228792MaRDI QIDQ949897

Antal Veres, Ferenc Móricz

Publication date: 21 October 2008

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-008-0205-7

zbMATH Keywords

multiple Fourier seriesabsolute convergence

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (12)

Exact solutions of Dirichlet type problem to elliptic equation, which type degenerates at the axis of cylinder. II ⋮ On weighted β-absolute convergence of double Fourier series ⋮ Absolute convergence of multiple Fourier series of functions of \(\phi \left( \Lambda ^1,\dots,\Lambda ^N\right) \)-bounded variation ⋮ Convolution functions of several variables with generalized bounded variation ⋮ Properties of Functions of Generalized Bounded Variations ⋮ Generalized absolute convergence of single and double series in multiplicative systems ⋮ Generalized absolute convergence of single and double Fourier series with respect to multiplicative systems ⋮ On absolute convergence of multiple Fourier series ⋮ Absolute convergence of multiple Fourier series of a function of \(p(n)\)-\(\Lambda\)-\(\mathrm{BV}\) ⋮ Unnamed Item ⋮ Absolute convergence of the Fourier trigonometric series with gaps ⋮ ON THE DIRICHLET PROBLEM TO ELLIPTIC EQUATION, THE ORDER OF WHICH DEGENERATES AT THE AXIS OF A CYLINDER

Cites Work

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• On the absolute convergence of multiple Fourier series
• Period, index and potential \(\text Ш\)
• On a theorem of Zygmund
• The Brauer-Manin Obstruction and III[2]
• Double sine series with nonnegative coefficients and Lipschitz classes
• On Definitions of Bounded Variation for Functions of Two Variables

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