Existence of nontrivial solutions of linear functional equations

DOI10.1007/s00010-013-0212-zzbMath1304.39025OpenAlexW2078909056MaRDI QIDQ744039

Gergely Kiss, Adrienn Varga

Publication date: 2 October 2014

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

Full work available at URL: http://orbilu.uni.lu/handle/10993/23235

zbMATH Keywords

functional equationsgeneralized polynomialsfield isomorphism

Mathematics Subject Classification ID

Functional equations for complex functions (39B32)

Related Items (10)

Stability of a functional equation for generalized polynomials ⋮ The discrete Pompeiu problem on the plane ⋮ Nontrivial solutions of linear functional equations: methods and examples ⋮ On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations ⋮ On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations ⋮ On a class of linear functional equations without range condition ⋮ On the characteristic polynomials of linear functional equations ⋮ Algebraic dependency of roots of multivariate polynomials and its applications to linear functional equations ⋮ Characterization of field homomorphisms through Pexiderized functional equations ⋮ Linear functional equations, differential operators and spectral synthesis

Cites Work

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• Behaviour of solutions of some linear functional equations at infinity
• Polynomial mappings on Abelian groups
• Note on exponential polynomials
• Harmonic analysis on discrete Abelian groups
• A general functional equation and its stability
• Recent results on functional equations in a single variable, perspectives and open problems

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