Strong Truncated Matrix Moment Problem of Hamburger

In this paper we consider the strong truncated matrix moment problem on the real line. We describe all the solutions of the problem in the form of a Nevanlinna type formula. We use M. G. Kreĭn's theory of representations for Hermitian operators and the technique of boundary triplets and the cor...

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Veröffentlicht in:Sarajevo journal of mathematics 2024-06, Vol.2 (2), p.181-204
1. Verfasser: Simonov, K. K.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we consider the strong truncated matrix moment problem on the real line. We describe all the solutions of the problem in the form of a Nevanlinna type formula. We use M. G. Kreĭn's theory of representations for Hermitian operators and the technique of boundary triplets and the corresponding Weyl functions.   2000 Mathematics Subject Classification. 44A60; 47A57, 42C05
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.02.2.06