{"title":"无反射典型系统的拓扑特性","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":"{\"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}","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}
Topological properties of reflectionless canonical systems
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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