On the Riesz summability of the eigenfunction expansions on a closed domain

DOI10.2298/FIL1916199RzbMath1499.42046OpenAlexW3007666021MaRDI QIDQ5864251

Abdumalik Rakhimov, Erkin M. Saydamatov, Shuhrat Sheraliev

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1916199r

zbMATH Keywords

summabilityRiesz meanseigenfunction expansions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (1)

Some estimates of Riesz transforms related to Schrödinger-type operators

Cites Work

• On the spectral expansions of distributions connected with Schrödinger operators
• On the localization of the Riesz means of multiple Fourier series of distributions
• Localization conditions for spectral decompositions related to elliptic operators from class \(A_ r\)
• On the summability of multiple Fourier trigonometric series of distributions.
• Summation by Riesz means of the Fourier-Laplace series
• Uniform convergence of the eigenfunction expansions associated with the bi-harmonic operator on the closed domain
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