A functional definition of polynomial for connected Lie groups

Molla, Arman; Nicolay, Samuel

doi:10.1016/j.jmaa.2023.127679

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A functional definition of polynomial for connected Lie groups

Molla, Arman; Nicolay, Samuel

2024 • In Journal of Mathematical Analysis and Applications, 530 (1), p. 127679

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https://hdl.handle.net/2268/306057

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10.1016/j.jmaa.2023.127679

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Keywords :

Analysis

Abstract :

[en] In this paper, we look at the local and global solutions of the Fréchet functional equation for connected Lie groups. In particular, we give a characterization of these solutions using the lower central series, providing a notion of polynomial for such groups.

Disciplines :

Mathematics

Author, co-author :

Molla, Arman ; Université de Liège - ULiège > Mathematics

Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

A functional definition of polynomial for connected Lie groups

Publication date :

February 2024

Journal title :

Journal of Mathematical Analysis and Applications

ISSN :

0022-247X

eISSN :

1096-0813

Publisher :

Elsevier BV

Volume :

530

Issue :

Pages :

127679

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0022247X23006820?httpAccept=text/xml

Available on ORBi :

since 29 August 2023

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