A characterization of unbounded generalized meromorphic operators

Mohammed Berkani, Monia Monia Boudhief,, Nedra Nedra Moalla

Abstract


In this paper, we study the class of unbounded generalized meromorphic operators $GM(E,\infty)$, where
$E$ is a finite subset of $\mathbb{C}$, which generalizes the notion of unbounded meromorphic operators. More precisely,
 we give a decomposition and some characterizing properties of these operators based on the punctured neighborhood theorem and
  the operational calculus for unbounded operators.

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