Recursive set relations
type: Item
instance of: scholarly article
title: Recursive set relations
zbMATH Open document ID: 1094.28001
author: Hajrudin Fejzić
author: Chris Freiling
author: Henry Fast
author: Dan Rinne
published in: Real Analysis Exchange
publication date: 2005-04-04T00:00:00Z
review text: Let \(A(x)\), \(B(x)\), \(C(x)\) be characteristic functions of three measurable sets of real numbers. We determine necessary and sufficient conditions for which \(A(x+ a_n)+ B(x+ b_n)+ C(x+ c_n)= A(x)+ B(x)+ C(x)\) almost everywhere, where \(\{a_n\}\), \(\{b_n\}\), \(\{c_n\}\) are sequences of nonzero shifts approaching zero.
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 2151948
zbMATH Keywords: recursion
zbMATH Keywords: periodic sets
zbMATH Keywords: shift invariance
MaRDI profile type: Publication
full work available at URL: realanalexch.29.2.0835
OpenAlex ID: W1567616029
DOI: 10.14321/REALANALEXCH.29.2.0835
description: scientific article; zbMATH DE number 2151948