Summability almost everywhere of Fourier series in \(L_ p\) with respect to eigenfunctions

DOI10.1007/BF01157406zbMath0536.42029OpenAlexW2325382525MaRDI QIDQ791800

Ravshan Ashurov

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01157406

zbMATH Keywords

spectral functionRiesz means

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General harmonic expansions, frames (42C15)

Related Items (4)

Almost everywhere summability of multiple Fourier integrals ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ The generalized localization for multiple Fourier integrals ⋮ The principle of general localization on unit sphere

Cites Work

• Localization and summability of multiple Fourier series
• On certain exponential sums arising in multiple Fourier series
• Interpolation of Linear Operators
• On the Asymptotic Behavior of the Fourier Transform of the Indicator Function of a Convex Set

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