On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations

DOI10.1007/s00010-017-0482-yzbMath1406.43004arXiv1704.04755OpenAlexW4237066363MaRDI QIDQ2407699

Csaba Vincze, Gergely Kiss

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1704.04755

zbMATH Keywords

linear functional equationsspectral analysisspectral synthesis

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Spectral synthesis on groups, semigroups, etc. (43A45) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (4)

On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations ⋮ On functional equations characterizing derivations: methods and examples ⋮ On linear functional equations modulo \({\mathbb{Z}} \) ⋮ Computer assisted solution of systems of two variable linear functional equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local spectral synthesis on abelian groups
• On the characteristic polynomials of linear functional equations
• Algebraic dependency of roots of multivariate polynomials and its applications to linear functional equations
• Existence of nontrivial solutions of linear functional equations
• Taylor's theorem and functional equations
• On a class of equations stemming from various quadrature rules
• Linear functional equations, differential operators and spectral synthesis
• On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations
• Linear functional equations with algebraic parameters
• Additive solvability and linear independence of the solutions of a system of functional equations
• Nontrivial solutions of linear functional equations: methods and examples
• Harmonic analysis on discrete Abelian groups

This page was built for publication: On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations