{"title":"论截断 Hausdorff 矩阵矩问题的残差矩阵","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":"{\"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}","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
摘要
摘要 我们得到了区间 [a, b] 上截断 Hausdorff 矩阵矩(THMM)问题的解析矩阵,该矩阵在偶数和奇数矩的情况下均以终点 b 表示。
On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem
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.