2012/01/11 by Sergey M. Zagorodnyuk, Sergey M. Zagorodnyuk, Zagorodnyuk, Sergey M.
Computer Science · Mathematics · #44A60 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:44A60
paper · pdf · doi:10.48550/arxiv.1201.2278
14 pages
arxiv created 2012/01/11 · openalex publication_date 2012/01/11 · arxiv updated 2012/01/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This paper is a continuation of our previous investigation on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no.6, 786-797. In the present paper we obtain a Nevanlinna-type formula for this moment problem in a general case. We only assume that we have more than one moment, the moment problem is solvable and the problem has more than one solution. The coefficients of the corresponding matrix linear fractional transformation are explicitly expressed by the prescribed moments. Easy conditions for the determinacy of the moment problem are given.