A Potapov-Type Approach to a Particular Truncated Stieltjes Moment Problem in the Case of an Odd Number of Prescribed Matricial Moments.

Autor: Schröder-Zeiske, Torsten, Fritzsche, Bernd, Kirstein, Bernd, Mädler, Conrad
Zdroj: Complex Analysis & Operator Theory; Apr2024, Vol. 18 Issue 3, p1-54, 54p
Abstrakt: The paper gives a parametrization of the solution set of a matricial Stieltjes-type truncated power moment problem in the non-degenerate and degenerate cases. The problem will be reformulated as an interpolation problem for a distinguished class of holomorphic matrix-valued functions. An essential role plays a solution of the corresponding system of Potapov’s fundamental matrix inequalities. [ABSTRACT FROM AUTHOR]
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