\(L^ 1\)-convergence of double cosine- and Walsh-Fourier series

DOI10.1007/BF02835950zbMath0851.42014OpenAlexW2094269203MaRDI QIDQ1326658

Ferenc Móricz

Publication date: 21 November 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835950

zbMATH Keywords

double Fourier seriesDirichlet kerneldouble Walsh-Fourier seriesrectangular partial sum\(L^ 1\)-convergencemodified rectangular sum

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05)

Cites Work

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• Tauberian \(L^ 1\)-convergence classes of Fourier series. II
• On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
• On the integrability and \(L^ 1\)-convergence of double Walsh series
• On \(L^ 1\)-convergence of Walsh-Fourier series. I
• On Walsh-Fourier Series
• A Class of L 1 -Convergence
• On L 1 Convergence of Certain Cosine Sums
• A Remarkable Series of Orthogonal Functions (I)
• On the integrability and L¹-convergence of double trigonometric series
• On the Walsh Functions

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