On the general solution of the triangle mean value equation

DOI10.1007/BF02189616zbMath0531.39003MaRDI QIDQ788218

Shigeru Haruki

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/136964

zbMATH Keywords

harmonic polynomialsmean valuestriangle functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (3)

Mean-value type functional equations ⋮ On trigonometric functional equations of rectangular type ⋮ Composite n-forms and Cauchy kernels

Cites Work

• Unnamed Item
• Note on the equation (\(Delta^ 2(\)x,t) - \(Delta^ 2(\)y,t)) f(x,y) =0
• General and regular solutions of functional equations characterizing harmonic polynomials
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)
• On vanishing n-th ordered differences and Hamel bases
• On a metrical theorem in geometry of circles
• A note on a pentomino functional equation

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