English

The truncated matrix trigonometric moment problem: the operator approach

Functional Analysis 2010-12-08 v1

Abstract

In this paper we study the truncated matrix trigonometric moment problem. We obtained a bijective parameterization of all solutions of this moment problem (both in nondegenerate and degenerate cases) via an operator approach. We use important results of M.E.~Chumakin on generalized resolvents of isometric operators.

Keywords

Cite

@article{arxiv.1012.1534,
  title  = {The truncated matrix trigonometric moment problem: the operator approach},
  author = {Sergey M. Zagorodnyuk},
  journal= {arXiv preprint arXiv:1012.1534},
  year   = {2010}
}

Comments

14 pages

R2 v1 2026-06-21T16:54:53.730Z