On Popoviciu-Ionescu functional equation

DOI10.1515/amsil-2016-0006zbMath1369.39020arXiv1604.00616OpenAlexW2963389849MaRDI QIDQ2363632

J. M. Almira Picazo

Publication date: 25 July 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00616

zbMATH Keywords

functional equationsexponential polynomials on abelian groupsMontel-type theorem

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

On certain generalizations of the Levi-Civita and Wilson functional equations ⋮ Characterization of polynomials as solutions of certain functional equations

Cites Work

• Montel-type theorems for exponential polynomials
• Subadditive set-functions on semigroups, applications to group representations and functional equations
• Subadditive maps and functional equations
• On Montel and Montel-Popoviciu theorems in several variables
• Decomposable functions and representations of topological semigroups
• Some extensions of the Levi-Civitá functional equation and richly periodic spaces of functions
• Addition theorems and representations of topological semigroups
• On Montel's theorem in several variables
• Addition theorems and related geometric problems of group representation theory
• Montel's Theorem and Subspaces of Distributions Which Are Δ^m-Invariant
• Functional Equations on Groups
• Translation Invariant Subspaces of Finite Dimension
• La solution d'une équation fonctionnelle à l'aide de la théorie des distributions
• Sur quelques équations aux différences mêlées
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