Verallgemeinerte Walsh—Fourierreihen. II

DOI10.1007/BF01902112zbMath0335.42009OpenAlexW1966545549MaRDI QIDQ4102275

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Publication date: 1976

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01902112

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (11)

Approximation by Vilenkin-Fourier sums ⋮ An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ \(L^ p\)-norm convergence of series in compact, totally disconnected groups ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups ⋮ Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups ⋮ Norm convergence of logarithmic means on unbounded Vilenkin groups ⋮ On a generalization of the concept of derivative ⋮ Vilenkin systems and generalized triangular truncation operator ⋮ On the convergence of Vilenkin-Fourier series ⋮ Convergence in \(L^p\)-norm of Fourier series on the complete product of quaternion groups with bounded orders ⋮ Walsh-Fourier series and their generalizations in Orlicz spaces

Cites Work

• On generalized Walsh Fourier series
• Estimates for translation invariant operators in \(L^p\) spaces
• On \(L^p\)-norm convergence of series with respect to product systems
• Mean convergence of Walsh Fourier series
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• On the Walsh Functions
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