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On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2024-03-11 , DOI: 10.1007/s11785-024-01499-0 A. E. Choque-Rivero , B. E. Medina-Hernandez
中文翻译:
关于截断Hausdorff矩阵矩问题的求解矩阵
更新日期:2024-03-13
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2024-03-11 , DOI: 10.1007/s11785-024-01499-0 A. E. Choque-Rivero , B. E. Medina-Hernandez
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.
中文翻译:
关于截断Hausdorff矩阵矩问题的求解矩阵
摘要
在以端点b表示的偶数和奇数矩的情况下,我们获得了区间 [ a , b ]上的截断 Hausdorff 矩阵矩 (THMM) 问题的求解矩阵。给出了关于端点a和b的 THMM 问题的求解矩阵之间的显式关系。