Generalized localization of Riesz means of spectral expansions of distributions
type: Item
instance of: scholarly article
title: Generalized localization of Riesz means of spectral expansions of distributions
zbMATH Open document ID: 1260.35081
DOI: 10.1134/S1064562412050018
published in: Doklady Mathematics
publication date: 2013-01-14T00:00:00Z
review text: Given an arbitrary bounded domain \(\Omega\subset \mathbb R^n\), let \(L\) be a non-negative self-adjoint extension of the Laplace operator \(-\Delta\) in \(L_2(\Omega)\). The author studies the problem of generalized localization for the Riesz means of spectral expansions of \(L\) for distributions belonging to the Sobolev space \(H^{-l}\) with \(l>0\).
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 6124964
zbMATH Keywords: generalized localization
zbMATH Keywords: spectral expansion
zbMATH Keywords: Riesz means
zbMATH Keywords: Laplace operator
author: Shavkat A. Alimov
MaRDI profile type: Publication
cites work: Q3693892
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description: scientific article; zbMATH DE number 6124964