The explicit characterization of coefficients of a.e. convergent orthogonal series
type: Item
instance of: scholarly article
title: The explicit characterization of coefficients of a.e. convergent orthogonal series
zbMATH Open document ID: 1177.42022
author: Adam Paszkiewicz
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2009-11-05T00:00:00Z
review text: In this note, the author presents a complete characterization of sequences \((a_{n})\) for which \(\sum_{n\geq 1} a_{n}\,\Phi_{n}\) converges a.e for any orthonormal system \((\Phi_{n})\) in any \(L_{2}\)-space.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 40A30
Mathematics Subject Classification ID: 42A61
zbMATH DE Number: 5625427
zbMATH Keywords: almost everywhere convergence of orthogonal series
zbMATH Keywords: orthonormal systems
zbMATH Keywords: convergence in \(L_{2}\)-space
zbMATH Keywords: majorizing measure
MaRDI profile type: Publication
full work available at URL: j.crma.2009.07.012
OpenAlex ID: W2036948115
cites work: Q5343542
cites work: A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
cites work: Sample boundedness of stochastic processes under increment conditions
cites work: Q5341074
cites work: Some theorems related to almost sure convergence of orthogonal series
DOI: 10.1016/J.CRMA.2009.07.012
description: scientific article; zbMATH DE number 5625427