


The
linearaffine functional equation and group actions. 
The linearaffine functional equation and group
actions.
Jointly written with LUDWIG REICH and
JENS SCHWAIGER.
Publicationes
Mathematicae Debrecen 64/12, 209  235, 2004.
Abstract: We investigate generalizations of the
linearaffine 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" unigraz.at, February 15,
2018






The
linearaffine functional equation and group actions. 

