The truncated matrix trigonometric moment problem: the operator approach

2010/12/07 by Sergey M‎. ‎Zagorodnyuk, Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M. · 1 citation
Computer Science · Mathematics · #Differential Equations and Boundary Problems #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:44A60

paper · pdf · doi:10.48550/arxiv.1012.1534

14 pages

arxiv created 2010/12/07 · arxiv updated 2010/12/08

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.

Cited by

• The Nevanlinna-type formula for the truncated matrix trigonometric moment problem

Related

• On the truncated operator trigonometric moment problem
• The Nevanlinna-type formula for the truncated matrix trigonometric moment problem
• The truncated matrix trigonometric moment problem with an open gap
• The operator approach to the truncated multidimensional moment problem
• Toeplitz, Hankel, de Branges and two truncated matrix moment problems