A project on generic non-extendability of functions belonging to some new spaces and their properties, in one, several or infinitely many complex variables – I2M – Institut de Mathématique de Marseille

Localisation

Voir en plein écran

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

A project on generic non-extendability of functions belonging to some new spaces and their properties, in one, several or infinitely many complex variables

Vassili Nestoridis
National and Kapodistrian University of Athens, Greece
https://scholar.google.gr/citations?user=DXmqLu8AAAAJ&hl=en

Date(s) : 15/05/2017 iCal
14h30 - 15h30

First, we remind some generic non-extendability results valid for most of the function spaces in one or several complex variables, as well as, some generic results on totally unbounded functions. These results can be extended to be valid for some new function spaces that we introduce in one, several or infinetely denumerably many variables. These new spaces are defined by several properties of holomorphic functions that we require to hold when we approach several parts of the boundary of their common domain of definition. They are Frechet spaces when they are endowed with their natural topologies. An open issue is to investigate the properties of the functions belonging to these spaces.

https://arxiv.org/abs/1709.00276

Catégories

Séminaire

Tags :

Analyse et Géométrie