The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem

2021/09/24 by Bernd Fritzsche, Bernd Kirstein, Fritzsche, Bernd +5
Engineering · #30E05 #44A60 #47A57 #Advanced Research in Systems and Signal Processing #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Material Science and Thermodynamics

paper · pdf · doi:10.48550/arxiv.2109.11900

openalex publication_date 2021/09/24 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The main goal of the paper is to parametrize the Weyl matrix balls associated with an arbitrary matricial truncated Hamburger moment problem. For the special case of a non-degenerate matricial truncated Hamburger moment problem the corresponding Weyl matrix balls were computed by I. V. Kovalishina in the framework of V. P. Potapov's method of "Fundamental matrix inequalities".

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