On covariant embeddings of a linear functional equation with respect to an analytic iteration group in some non-generic cases. Publications, to be read Tiling problems in music theory. The linear-affine functional equation and group actions.

The linear-affine functional equation and group actions.

Jointly written with LUDWIG REICH and JENS SCHWAIGER. Publicationes Mathematicae Debrecen 64/1-2, 209 - 235, 2004.

Abstract: We investigate generalizations of the linear-affine functional equation

u(r x)=α(r)u(x)+β(r) ..

usually studied for r,x in R>0 or r,x in R>= 1, by introducing a group action of a group R on a set X on the left hand side, and by studying actions of affine or arbitrary (semi) groups on the right hand side of this equation.

harald.fripertinger "at" uni-graz.at, October 3, 2023

On covariant embeddings of a linear functional equation with respect to an analytic iteration group in some non-generic cases. Publications, to be read Tiling problems in music theory. Uni-Graz Mathematik UNIGRAZ online GDPR The linear-affine functional equation and group actions. Valid HTML 4.0 Transitional Valid CSS!