On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

DOI10.3103/S1068362312050020zbMath1273.42029MaRDI QIDQ1931622

Ushangi Goginava, Artur A. Sahakyan

Publication date: 15 January 2013

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Walsh-Fourier seriesgeneralized variation\(\lambda\)-variation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (3)

On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation ⋮ Uniform convergence of double Vilenkin-Fourier series ⋮ On the absolute convergence of the series of Fourier coefficients with respect to Haar-like systems in the class \(BV(p(n)\uparrow p,\phi)\)

Cites Work

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• Rate of convergence for double Walsh-Fourier series of functions of bounded fluctuation
• On the convergence and divergence of multiple Fourier series with respect to the Walsh-Paley system in the spaces C and L
• Fourier series of functions of harmonic bounded fluctuation on groups
• Uniform convergence of Cesàro means of negative order of double Walsh--Fourier series
• On the uniform convergence of Walsh-Fourier series
• Waterman classes and spherical partial sums of double Fourier series
• Convergence and Gibbs phenomenon for double Fourier-Walsh series of functions of bounded harmonic variation
• On the convergence of double Fourier series of functions of bounded partial generalized variation
• On the uniform convergence and L¹-convergence of double Walsh-Fourier series
• Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series
• Continuity in $ \Lambda$-variations of functions of several variables
• Convergence of double Fourier series and $W$-classes
• Two-dimensional Waterman classes and $ u$-convergence of Fourier series
• On convergence of Fourier series of functions of generalized bounded variation

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