A generalization of the Riesz-Fischer theorem and linear summability methods

DOI10.1016/J.JAT.2012.03.008zbMath1248.42004OpenAlexW2021479077MaRDI QIDQ435186

G. E. Tkebuchava, Bruno Brive, Catherine Finet

Publication date: 11 July 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.03.008

zbMATH Keywords

biorthogonal systemsOrlicz spacesexpansions of functionslinear summability methods

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) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

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• Weighted integrability and L¹-convergence of multiple trigonometric series
• Rate of Cesàro summability of double orthogonal series
• Application of double Fourier series to the shallow water equations on a sphere

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