Group actions and the functional equation of the mean sun |
COMPTES RENDUS MATHEMATIQUES 24 (1), 21 - 25, 2002.
Abstract: A generalization of the functional equation g(s+t)x(u)=g(s)x(t+u) (for all s,t,u in R ) of the mean sun is studied, where a group G acts on a set X, (R,+) is a not necessarily commutative group and both x: R→ X and g: R→ G are unknown functions, which will be determined by the equation.
Group actions and the functional equation of the mean sun |