[en] In this talk, we provide a generalization of polynomials on Lie groups. They are seen as smooth solutions of the Fréchet functional equations naturally generalized on arbitrary groups. On Lie groups, these polynomials are not far from the usual one, but it will be seen that topological or algebraic properties of the group may lead to existence or non-existence of non-constant solutions.
Disciplines :
Mathematics
Author, co-author :
Molla, Arman ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Generalizations of Fréchet equations on Lie groups and homogeneous spaces
Alternative titles :
[en] Généralisation des équations de Fréchet sur les groupes de Lie et les espaces homogènes
Publication date :
02 October 2019
Event name :
Journées GDR Analyse Multifractale 2019
Event organizer :
Samuel Nicolay, Céline Esser, Laurent Loosveldt
Event place :
Vielsalm, Belgium
Event date :
Du 29 septembre 2019 au 3 octobre 2019
Audience :
International
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
