On the coefficients of Vilenkin-Fourier series with small gaps

DOI10.1215/21562261-1424902zbMath1229.42031OpenAlexW1967491464MaRDI QIDQ654869

Bhikha Lila Ghodadra

Publication date: 23 December 2011

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/21562261-1424902

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) Inequalities for sums, series and integrals (26D15) Character groups and dual objects (43A40)

Related Items (1)

Wiener-Ingham type inequality for Vilenkin groups and its application to harmonic analysis

Cites Work

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• Fourier series of functions of harmonic bounded fluctuation on groups
• Fourier series with small gaps and functions of generalised variations
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• Absolute convergence of Fourier series on certain groups
• A class of generalized Walsh functions
• Absolute convergence of Fourier series of functions of λBV(p) and ϕλBV
• On the Magnitude of Fourier Coefficients
• LOCAL THEOREMS FOR THE ABSOLUTE CONVERGENCE OF LACUNARY FOURIER SERIES ON CERTAIN GROUPS
• A Remarkable Series of Orthogonal Functions (I)
• On a class of complete orthonormal systems
• On the Walsh Functions

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