A truncated cube functional equation

DOI10.3792/PJAA.59.372zbMath0543.39004OpenAlexW1964008426MaRDI QIDQ796003

Shigeru Haruki

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.372

zbMATH Keywords

Abelian groups divisible by 2equivalence of equationsfields of characteristic 0solutions bounded on a set of positive measuretruncated cube functional equation

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the generalized cube and octahedron functional equations
• Equivalence of 'cube' and 'octahedron' functional equations
• General and regular solutions of functional equations characterizing harmonic polynomials
• On a 'cube functional equation'
• Boundedness on a set of positive measure and the mean value property characterizes polynomials on a space \(V^ n\)

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