Group actions and the functional equation of the mean sun Publications, to be read Generalizations of the functional equation of the mean sun The functional equation of the mean sun written as a group action

The functional equation of the mean sun written as a group action

Grazer Mathematische Berichte 344, 25 - 30, 2001.

Abstract: A generalization g(s+t)x(u)=g(s)x(t+u) (for all s,t,u in R ) of the functional equation 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.


harald.fripertinger "at" uni-graz.at, October 3, 2024

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