M. Borogovac

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20152026

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math.FA2026

Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations

Muhamed Borogovac

A well-known characterization of Jordan vectors of a matrix polynomial $L (z)$ is generalized to a characterization of Jordan vectors of the operator-valued function $Q (z)$ at an ei…

math.FA2024

Novel approach to root functions of matrix polynomials with applications in differential equations and meromorphic matrix functions

Muhamed Borogovac

In the first part of the paper, we address an invertible matrix polynomial $L (z)$ and its inverse $L^(z) := - L (z)^{- 1}$ . We present a method for obtaining a canonical set of r…

math.FA2015

Desirable Decompositions of Generalized Nevanlinna Functions

Muhamed Borogovac

For a given generalized Nevanlinna function $Q \in N_{κ} (H)$ , we study decompositions that satisfy: $Q = Q_{1} + Q_{2}$ ; $Q_{i} \in N_{κ_{i}} (H)$ , and $κ_{1}+…