{"title":"Convergence Conditions for Vector Stieltjes Continued Fractions","authors":"Mirta María Castro Smirnova","doi":"10.1006/jath.2001.3653","DOIUrl":null,"url":null,"abstract":"Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Approx. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1006/jath.2001.3653","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described.
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