3 papers
math.CV2026
Construction of Pole Cancellation Functions at Ordinary Poles of Operator-Valued Functions
Muhamed Borogovac
A pole of order at of a regular operator valued function is investigated. We provide a chara…
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 is generalized to a characterization of Jordan vectors of the operator-valued function at an ei…
math.CV2025
Root functions of a meromorphic matrix function and applications
Muhamed Borogovac
A practical method is presented for determining root and pole cancellation functions of a matrix function meromorphic on the extended complex plane $\bar{\mathbb{C}}:=\mathb…