{"title":"Interpolation in de Branges-Rovnyak spaces","authors":"J. Ball, V. Bolotnikov, S. Horst","doi":"10.1090/S0002-9939-2010-10505-1","DOIUrl":null,"url":null,"abstract":"A general interpolation problem with operator argument is studied for functions from the de Branges-Rovnyak space associated with an analytic function mapping the open unit disk into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form (with a suitable interpretation of ) for given Hilbert space operator and two vectors from the same space.","PeriodicalId":46216,"journal":{"name":"Probability Surveys","volume":"1 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2011-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1090/S0002-9939-2010-10505-1","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Probability Surveys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/S0002-9939-2010-10505-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 14
Abstract
A general interpolation problem with operator argument is studied for functions from the de Branges-Rovnyak space associated with an analytic function mapping the open unit disk into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form (with a suitable interpretation of ) for given Hilbert space operator and two vectors from the same space.
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