Properties of orthorecursive expansions over nonorthogonal systems
type: Item
instance of: scholarly article
title: Properties of orthorecursive expansions over nonorthogonal systems
zbMATH Open document ID: 1023.42014
author: T. P. Lukashenko
published in: Moscow University Mathematics Bulletin
publication date: 2003-01-08T00:00:00Z
review text: The author determines the orthorecursive expansions in arbitrary systems which are at most countable in a Hilbert space. These expansions for orthogonal systems coincide with the expansions into Fourier series. The author presents examples of systems of characteristic functions of intervals, in which the orthorecursive expansions of the functions of \(L^p\) classes converge in \(L^p\) and the expansions of the functions integrable in the Denjoy-Perron (Kurzweil-Henstock) sense converge almost everywhere.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 1851277
zbMATH Keywords: orthorecursive expansions
zbMATH Keywords: Bessel identity
zbMATH Keywords: Parseval equality
zbMATH Keywords: orthogonal systems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1851277