WitrynaScalar-valued meromorphic Herglotz-Nevanlinna functions are characterized by the interlacing property of their poles and zeros together with some growth properties. We give a characterization of matrix-valued Herglotz-Nevanlinna functions by means of a higher-order interlacing condition. As an application we deduce a matrix version of the ... WitrynaHybrid Conference "Herglotz-Nevanlinna Functions and their Applications to Dispersive Systems and Composite Materials", from 23 to 27 May 2024, in Marseille CIRM, …
6 - Herglotz and Nevanlinna Representations in Several Variables
WitrynaWe consider a certain class of Herglotz-Nevanlinna matrix-valued functions which can be realized as the Weyl-Titchmarsh matrix-valued function of some symmetric … WitrynaWe derive an integral representation for Herglotz-Nevanlinna functions in two variables which provides a complete characterization of this class in terms of a real number, … budget shopping list and meal planner
Herglotz-Nevanlinna Functions and their Applications - Fresnel
Witryna14 wrz 2024 · Here, we consider the following class of functions. Definition 1.1. A function \(q :{\mathbb {C}}^{+n} \rightarrow {\mathbb {C}}\) is called a … WitrynaJ. Math. Anal. Appl. 514 (2024) 126260 Contents lists available at ScienceDirect Journal of Mathematical Analysis and Applications www.elsevier.com/locate/jmaa ... Witryna28 cze 2024 · This paper elaborates on a relationship between matrix-valued Herglotz-Nevanlinna functions and Hurwitz stable matrix polynomials, which generalizes the … budget shopping in paris