The Fréchet Functional Equation for Lie Groups

Molla, Arman; Nicolay, Samuel

doi:10.1007/s00009-021-01701-z

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The Fréchet Functional Equation for Lie Groups

Molla, Arman; Nicolay, Samuel

2021 • In Mediterranean Journal of Mathematics, 18 (2)

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https://hdl.handle.net/2268/257576

DOI
10.1007/s00009-021-01701-z

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Keywords :

Polynomial; Lie group; Functional equation

Abstract :

[en] We study a generalization of the Fréchet functional equation in the setting of Lie groups. We provide theorems that give a description of the solutions and their regularity. These properties are applied to obtain new results about the Fréchet functional equations generalized to homogeneous spaces. In the end, we present a few examples and counterexamples.

Disciplines :

Mathematics

Author, co-author :

Molla, Arman ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

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

Language :

English

Title :

The Fréchet Functional Equation for Lie Groups

Alternative titles :

[en] Belgique

Publication date :

27 February 2021

Journal title :

Mediterranean Journal of Mathematics

ISSN :

1660-5446

eISSN :

1660-5454

Publisher :

Birkhauser Verlag, Switzerland

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Name of the research project :

Generalizations of difference operator and Cauchy functional equations

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 02 March 2021

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