The octahedron equation implies the cube equation: An elementary proof
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It has been proved by L. Sweet that the “octahedron” functional equation implies the “cube” functional equation in all dimensionsn≧1. In this note we give an elementary proof of this theorem.
AMS (1980) subject classificationPrimary 39B40
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- Sweet, L.,On the generalized cube and octahedron functional equations. Aequationes Math.22 (1981), 29–38.Google Scholar