On functions satisfying a generalized mean value equation
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Publication:1211195
DOI10.1007/BF01837728zbMath0291.39007MaRDI QIDQ1211195
Publication date: 1974
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/136430
General theory of functional equations and inequalities (39B05) Functional equations and inequalities (39B99)
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
- Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
- On the regularity of the locally integrable solutions of the functional equations \(a^ i(x,t)f(x+\phi^ i(t))=b(x,t)\)
- Functions Satisfying the Mean Value Property
- A Note On the Mean Value Property
- Partial Differential Equations and Difference Equations
- On Polynomials Characterized by a Certain Mean Value Property
- Functions with a Mean Value Property II
- Basic sets of invariants for finite reflection groups
- A generalization of the Haruki functional equation
- On Linear Functional Equations with Nonpolynomial C∞ Solutions
- Über eine zur Differentialgleichung \[ \left(a_0 {\partial^n\over\partial x^n}+a_1 {\partial^n\over\partial x^{n- 1}\partial y}+\cdots +a_n{\partial^n\over\partial y^n}\right)U(x,y)=0 \ gehörige Funktionentheorie. I]
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