Characteristic functional equations of polynomials and the Morera- Carleman theorem

DOI10.1007/BF02188016zbMath0499.30019MaRDI QIDQ1171677

Zalman Rubinstein

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/136895

zbMATH Keywords

functional equationpolynomialsGreen's theoremMorera Carleman theorem

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Polynomials and rational functions of one complex variable (30C10) Functional equations and inequalities (39B99)

Related Items (2)

On a generalized asymptotic mean value property ⋮ Mean values and classes of harmonic functions

Cites Work

• Unnamed Item
• On the regularity of the distributional and continuous solutions of the functional equations
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• On two functional equations connected with a mean-value property of polynomials
• Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations
• A General Functional Equation

This page was built for publication: Characteristic functional equations of polynomials and the Morera- Carleman theorem