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On a functional equation concerning affine transformations |
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| Institution: | Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50, 20133 Milan, Italy |
| 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. |
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