Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
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Publication:2539285
DOI10.1007/BF01817742zbMath0195.39602OpenAlexW4252441263MaRDI QIDQ2539285
Publication date: 1970
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/136040
Related Items (18)
The existence of solvable operators in the ideal ⋮ Triangular mean value theorems and Fréchet's equation ⋮ Regularization and general methods in the theory of functional equations ⋮ On the state of the second part of Hilbert's fifth problem ⋮ Comparison of two regulatory results on functional equations with few parameters ⋮ Characteristic functional equations of polynomials and the Morera- Carleman theorem ⋮ Polytopes and the mean value property ⋮ Difference operators, distributions and functional equations ⋮ On functions satisfying a generalized mean value equation ⋮ Existence and regularity problems for nonlinear functional equations ⋮ Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations ⋮ The general solution of some finite difference equations analogous to the wave equation ⋮ Mean values and differential equations ⋮ On the general solution of the triangle mean value equation ⋮ A truncated cube functional equation ⋮ Regularity properties of polynomials on groups ⋮ Regularity properties of exponential polynomials on groups ⋮ Functional equations and \(^*\)-representations on topological semigroups
Cites Work
- General and regular solutions of functional equations characterizing harmonic polynomials
- On the regularity of the distributional and continuous solutions of the functional equations
- A General Functional Equation
- Functions Satisfying the Mean Value Property
- A Note On the Mean Value Property
- Some properties of convex functions of higher orders
- On vanishing n-th ordered differences and Hamel bases
- Sur quelques propriétés de moyenne caractéristiques des fonctions harmoniques et polyharmoniques
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