{"title":"On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem","authors":"","doi":"10.1007/s11785-024-01499-0","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>We obtain the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem on the interval [<em>a</em>, <em>b</em>] in case of an even and odd number of moments expressed in terms of terminal point <em>b</em>. An explicit relation between the resolvent matrices of the THMM problem with respect to terminal points <em>a</em> and <em>b</em> is presented.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01499-0","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 obtain the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem on the interval [a, b] in case of an even and odd number of moments expressed in terms of terminal point b. An explicit relation between the resolvent matrices of the THMM problem with respect to terminal points a and b is presented.