{"title":"A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials","authors":"Juan Carlos García-Ardila","doi":"10.1007/s00025-024-02161-z","DOIUrl":null,"url":null,"abstract":"<p>In this manuscript, we study the operator moment problem for a block tridiagonal non-symmetric matrix. To study this problem, we used the relation between the resolvent function and a sequence of left-matrix orthogonal polynomials with respect to the sesquilinear form defined from the operator.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":"112 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00025-024-02161-z","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript, we study the operator moment problem for a block tridiagonal non-symmetric matrix. To study this problem, we used the relation between the resolvent function and a sequence of left-matrix orthogonal polynomials with respect to the sesquilinear form defined from the operator.
期刊介绍：
Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
