{"title":"Krein systems with oscillating potentials","authors":"Pavel Gubkin","doi":"arxiv-2409.08614","DOIUrl":null,"url":null,"abstract":"We prove that mean decay of the coefficient of Krein system is equivalent to\nthe mean decay of the Fourier transform of its Szeg\\H{o} function.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","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-2409.08614","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 prove that mean decay of the coefficient of Krein system is equivalent to
the mean decay of the Fourier transform of its Szeg\H{o} function.
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