{"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":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"39 1","pages":""},"PeriodicalIF":0.7000,"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\":50654,\"journal\":{\"name\":\"Complex Analysis and Operator Theory\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-03-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Analysis and Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-024-01499-0\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01499-0","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍:
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.