Perturbation of the trigonometric system in \(L_1(0,\pi)\)

DOI10.1007/s11006-006-0154-zzbMath1155.42002OpenAlexW1966774536MaRDI QIDQ881119

Vadim I. Filippov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0154-z

zbMATH Keywords

approximation algorithmtrigonometric systemcomplete systemFejér kernelperturbation of the trigonometric systemstability of a system

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Cites Work

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• Linear continuous functionals and representation of functions by series in the spaces \(E_{\varphi}\)
• Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels
• On the completeness and other properties of some function systems in \(L_p\), \(0<p<\infty\)

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