Growth of Distributionally Irregular Functions (Clifford Gilmore, Lille)

Séminaire « Analyse fonctionnelle »
Salle Kampé de Fériet, Bâtiment M2
Lieu : Salle Kampé de Fériet, 1er étage, Bâtiment M2 
Date : 18 Mars 2022
Heure : 14h 
Orateur : Clifford Gimore
Affiliation : Université de Lille
Salle Kampé de Fériet, Bâtiment M2
Résumé : Distributional irregularity has been actively investigated in the past decade and many natural continuous linear operators turn out to be distributionally irregular.
For instance the differentiation operator acting on the space of entire functions and the partial differentiation operators acting on the space of harmonic functions on
$\mathbb{R}^N$, where $N \geq 2$.

The order of growth of distributionally irregular entire functions was first considered by Bernal-González and Bonilla (2016). In this talk we examine some recent
results on the permissible growth rates of entire functions that are distributionally irregular with respect to the differentiation operator.

This is joint work with F. Martínez-Giménez and A. Peris (Universitat Politècnica de València).

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