Chaos for cosine operator functions on groups
type: Item
instance of: scholarly article
title: Chaos for cosine operator functions on groups
zbMATH Open document ID: 1473.47016
DOI: 10.1155/2014/603234
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Let \(1 \leq p < \infty\) and \(G\) be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space \(L^p(G)\), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously. We also give a necessary and sufficient condition for the direct sum of a sequence of cosine operator functions to be chaotic.
Mathematics Subject Classification ID: 47D09
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 43A17
zbMATH DE Number: 7022705
zbMATH Keywords: locally compact group
zbMATH Keywords: chaotic cosine operator functions
zbMATH Keywords: chaotic weighted translations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/603234
OpenAlex ID: W2087825510
Wikidata QID: Q59039880
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description: scientific article; zbMATH DE number 7022705