Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner matrix functions

Михайлова, И. В.

doi:10.1007/978-3-0348-8944-5_19

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…We show that this set of values fills a (closed) matrix ball and present explicit expressions for the center and the semiradii of this matrix ball, which will also be called the Weyl matrix ball associated with the concrete matricial Hamburger moment problem under consideration. Following the classical monograph Akhiezer [1], the terminology "Weyl circles" or later "Weyl matrix balls" was consequently used in the Soviet literature (see, e. g. [6,7,[34][35][36]38]). As explained in [1,Ch.…”

Section: Introductionmentioning

confidence: 99%

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

Fritzsche¹,

Kirstein²,

Kley³

et al. 2021

Preprint

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Section: Introductionmentioning

confidence: 99%

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

Fritzsche¹,

Kirstein²,

Kley³

et al. 2021

Preprint

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show abstract

“…Following the classical monograph [1] of Akhiezer, the terminology Weyl circles or later Weyl matrix balls was consequently put in the Soviet literature (see, e.g., [8,21,22,25,27]). As explained in [1, Chapter 1] (see also [10]), the history of the scalar case is intimately related to the primary papers [19,26,30].…”

Section: Introductionmentioning

confidence: 99%

More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case

Lasarow

2011

Journal of Approximation Theory

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The main subject of the paper is an in-depth analysis of Weyl matrix balls which are associated with a finite moment problem for rational matrix functions in the nondegenerate case. Thereby, the investigations tie in with preceding studies on a class of extremal solutions of the moment problem in question. We will point out that each member of this class is also extremal concerning the parameters of Weyl matrix balls. The considerations lead to characterizations of these particular solutions within the whole solution set of the problem. In doing so, an application of the theory of orthogonal rational matrix functions with respect to a nonnegative Hermitian matrix Borel measure on the unit circle is used to get that insight.

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

Fritzsche

Kirstein

Kley

et al. 2022

Linear Algebra and its Applications

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Weyl matrix circles as a tool for uniqueness in the theory of multiplicative representation of J-inner matrix functions

Cited by 3 publications

References 2 publications

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

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

More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case

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

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