Mean convergence of orthogonal Fourier series of modified functions

DOI10.1090/S0002-9947-00-02561-7zbMath1061.42017OpenAlexW1554288416MaRDI QIDQ4485713

Fernando Soria, Kazaros Kazarian, Martin G. Grigoryan

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02561-7

zbMATH Keywords

convergencerearrangementFourier seriesorthonormal systems

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Other transformations of harmonic type (42C20)

Related Items (6)

Nonlinear approximation of functions from the class \(L^r\) with respect to the Vilenkin system ⋮ Universal functions in `correction' problems guaranteeing the convergence of Fourier-Walsh series ⋮ On rearranged series by Haar system ⋮ The strong \(L^{1}\)- greedy property of the Walsh system ⋮ Unconditional \(C\)-strong property of Faber-Schauder system ⋮ Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces

Cites Work

• THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
• ON SOME PROPERTIES OF ORTHOGONAL SYSTEMS
• Isomorphism of the quotient fields, generated by Bessel‐type differential operators
• REPRESENTATION OF MEASURABLE FUNCTIONS BY ORTHOGONAL SERIES
• Some Aspects of Fourier Series
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