On the absolute convergence of Vilenkin-Fourier series

DOI10.1016/0022-247X(92)90273-GzbMath0752.43007MaRDI QIDQ1191829

M. S. Younis

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesabsolute convergenceBernstein's theoremboundedness propertyVilenkin groups

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 (max. 100)

On the Fourier-Walsh transform of functions from dyadic Dini-Lipschitz classes on the semiaxis ⋮ Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups ⋮ On the Hankel transform of functions from Nikol'ski type classes ⋮ Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers ⋮ On the Fourier transform of functions from the classes \(H_p^\alpha ({{\mathbb{R}}})\)

Cites Work

• Unnamed Item
• Absolute convergence of Vilenkin-Fourier series
• Absolute convergence of Fourier series on certain groups. II
• Fourier transforms of Lipschitz functions on certain Lie groups

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