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Representation of functions in the weighted space \(L^1_{\mu}\) by trigonometric and Walsh series

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Publication:700366
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DOI10.1023/A:1014368111379zbMath1001.42019OpenAlexW2069397207MaRDI QIDQ700366

Martin G. Grigoryan, Sergo A. Episkoposian

Publication date: 20 October 2002

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014368111379


zbMATH Keywords

rearrangementtrigonometric seriesWalsh seriesuniversal series


Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Other transformations of harmonic type (42C20)


Related Items (3)

On the existence of universal series by the generalized Walsh system ⋮ Universal series by trigonometric system in weighted \(L_{\mu }^{1}\) spaces ⋮ Universality properties of a double series by the generalized Walsh system







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