Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem

We consider the explicit relation between two resolvent matrices related to the truncated Hausdorff matrix moment problem (THMM) in the case of an even and odd number of moments. This relation is described with the help of four families of orthogonal matrix polynomials on the finite interval [ a , ...

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Bibliographic Details
Published in:Complex analysis and operator theory 2023-05, Vol.17 (4), Article 50
Main Authors: Choque-Rivero, Abdon E., Winklmeier, Monika
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Polynomials
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Summary:We consider the explicit relation between two resolvent matrices related to the truncated Hausdorff matrix moment problem (THMM) in the case of an even and odd number of moments. This relation is described with the help of four families of orthogonal matrix polynomials on the finite interval [ a ,  b ] and their associated second kind polynomials.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-023-01351-x