On a functional equation concerning affine transformations
1987
Abstract In this paper we prove that, if the functional equation u ( Rx + p ) = α ( R , p ) u ( x ) + β ( R , p ) has a nonconstant solution u , then α and β have to be of a very special form. Finally, we obtain, under suitable hypotheses, the general solution of this equation.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
15
References
12
Citations
NaN
KQI