English

Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem

Classical Analysis and ODEs 2023-02-28 v2 Complex Variables Functional Analysis

Abstract

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][a,b] and their associated second kind polynomials.

Keywords

Cite

@article{arxiv.2210.00374,
  title  = {Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem},
  author = {Abdon E. Choque-Rivero and Monika Winklmeier},
  journal= {arXiv preprint arXiv:2210.00374},
  year   = {2023}
}