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theronruiz@xxxxxxxxxxx a écrit :
> S is the set of all R -> R functions.
> T is a S -> S function such that:
>
> T(f o g) = (T(f) o g) * T(g) for every f and g in S,
> where (f o g)(x) = f(g(x)) and (f * g)(x) = f(x) * g(x).
>
> Are there non-constant solutions?
>
> Thank you,
> Theron
Bonjour ,
I do not understand your writing :
what does T(f) mean in ( T(f) o g ) ?
T o f ; idem for T(g) .
Are you interested in fonctional equations like
T(g(f(x))) = T(f(x)) * T(g(x)) in R
or g(f(x)) = f(x) * g(x) ?
tell us which are the unknown functions ,
Alain
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