Almost Everywhere Divergence of Multiple Walsh-Fourier Series

DOI10.2307/2046662zbMath0649.42016OpenAlexW4248645565MaRDI QIDQ3794679

David C. Harris

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046662

zbMATH Keywords

Walsh functionsmultipliersmultiple Fourier series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (12)

Subsequences of triangular partial sums of double fourier series on unbounded Vilenkin groups ⋮ New exceptional sets and convergence of the square partial sums of Walsh-Fourier series ⋮ On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ Singular integrals with bilinear phases ⋮ Almost orthogonal operators on the bitorus. II ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series ⋮ Unnamed Item ⋮ Convergence of a subsequence of triangular partial sums of double Walsh-Fourier series ⋮ On the structure of universal functions for classes $L^p[0,1)^2$, $p\in(0,1)$, with respect to the double Walsh system ⋮ Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system

Cites Work

• Unnamed Item
• On limits of sequences of operators
• Inequalities for strongly singular convolution operators
• The multiplier problem for the ball
• Projections on Invariant Subspaces
• A Note on Walsh-Fourier Series
• On the convergence of multiple Fourier series
• On the Walsh Functions

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