Algebraic dependency of roots of multivariate polynomials and its applications to linear functional equations

DOI10.1007/s10998-016-0171-yzbMath1399.12001OpenAlexW2554545122MaRDI QIDQ524182

Csaba Vincze

Publication date: 25 April 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0171-y

zbMATH Keywords

polynomialslinear functional equationsspectral analysisalgebraic dependent systemscharacteristic polynomials of linear functional equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (2)

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

Cites Work

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• On the characteristic polynomials of linear functional equations
• On additive solutions of a linear equation
• Existence of nontrivial solutions of linear functional equations
• Linear functional equations, differential operators and spectral synthesis
• Nontrivial solutions of linear functional equations: methods and examples
• Harmonic analysis on discrete Abelian groups
• On a Functional Equation Containing Weighted Arithmetic Means

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