Mean Convergence of Generalized Walsh-Fourier Series

DOI10.2307/1997441zbMath0327.43009OpenAlexW4242813868MaRDI QIDQ4092407

Wo-Sang Young

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997441

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Convergence of Fourier series and of inverse transforms (43A50)

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Cites Work

• On generalized Walsh Fourier series
• Uniform convergence of Fourier series on groups. I
• Absolute convergence of Fourier series on certain groups
• On the existence of certain singular integrals
• Certain Groups of Orthonormal Step Functions
• A Remarkable Series of Orthogonal Functions (I)
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• On a class of complete orthonormal systems
• On Moduli of Continuity and Divergence of Fourier Series on Groups

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