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

DOI10.1007/s10998-015-0095-yzbMath1374.43002OpenAlexW1901085783MaRDI QIDQ520015

J. R. Patadia, Bhikha Lila Ghodadra

Publication date: 31 March 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-015-0095-y

zbMATH Keywords

Fourier seriesabsolute convergenceVilenkin groupsmall gapsWiener-Ingham inequality

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) Estimates on character sums (11L40) Character groups and dual objects (43A40)

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Cites Work

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• On the coefficients of Vilenkin-Fourier series with small gaps
• Absolute convergence of Vilenkin-Fourier series
• Factorization of Lipschitz functions and absolute convergence of Vilenkin-Fourier series
• Absolute convergence of Fourier series on certain groups. II
• On the absolute convergence of a lacunary Fourier series
• Absolute convergence of Fourier series on certain groups
• A class of generalized Walsh functions
• On the Coefficients in Certain Fourier Series
• LOCAL THEOREMS FOR THE ABSOLUTE CONVERGENCE OF LACUNARY FOURIER SERIES ON CERTAIN GROUPS
• On a class of complete orthonormal systems
• On the Walsh Functions

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