The functional equation of the mean sun written as a group action Publications, to be read On covariant embeddings of a linear functional equation with respect to an analytic iteration group Generalizations of the functional equation of the mean sun

Generalizations of the functional equation of the mean sun

Jointly written with LUDWIG REICH. Grazer Mathematische Berichte 344, 7 - 24, 2001.

Abstract: Two generalizations U(λ+μ) y(ν)=U(λ)y(μ+ν)

(for all λ,μ,ν in A ) of the functional equation of the mean sun are studied, where (A,+) is an Abelian group, K is a field, n is a positive integer, and both y: A→ Kn and U: A→ GL(n,k) (or U: A→ Mn(k) in the second case) are unknown functions, which will be determined by the equation.

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

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