On a generalization of Bessel's inequality and the Riesz-Fischer theorem to the case of expansions of functions in \(L_p\) with \(p\neq 2\) in eigenfunctions of the Laplace operator on an arbitrary \(N\)-dimensional domain

DOI10.1134/S106456241404005XzbMath1317.35148OpenAlexW2016256760MaRDI QIDQ483644

Vladimir Il'in

Publication date: 17 December 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241404005x

zbMATH Keywords

Bessel's inequalitybilinear serieseigenfunctions of the Laplace operator

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 eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Cites Work

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