Using Aichinger's equation to characterize polynomial functions

DOI10.1007/s00010-022-00926-xarXiv2207.08248MaRDI QIDQ6185251

J. M. Almira Picazo

Publication date: 8 January 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08248

zbMATH Keywords

generalized polynomialsFréchet's functional equationAichinger's equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the mean value property of harmonic and complex polynomials
• On the theorem of S. Kakutani, M. Nagumo and J. L. Walsh for the mean value property of harmonic and complex polynomials
• Characterization of polynomials as solutions of certain functional equations
• Chevalley-Warning type results on abelian groups
• Functional equations and characterization problems on locally compact abelian groups
• On two functional equations connected with a mean-value property of polynomials
• A Remark on Cramer’s Theorem on the Decomposition of the Normal Law
• A Characterization of the Multivariate Normal Distribution
• On Loewner's characterization of polynomials
• Montel's Theorem and Subspaces of Distributions Which Are Δ^m-Invariant
• A mean value theorem for polynomials and harmonic polynomials

This page was built for publication: Using Aichinger's equation to characterize polynomial functions