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

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".