{"title":"Topological properties of reflectionless canonical systems","authors":"Max Forester, Christian Remling","doi":"arxiv-2409.04862","DOIUrl":null,"url":null,"abstract":"We study the topological properties of spaces of reflectionless canonical\nsystems. In this analysis, a key role is played by a natural action of the\ngroup $\\operatorname{PSL}(2,\\mathbb R)$ on these spaces.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04862","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the topological properties of spaces of reflectionless canonical
systems. In this analysis, a key role is played by a natural action of the
group $\operatorname{PSL}(2,\mathbb R)$ on these spaces.
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