Schost's transform
Here is its definition :
TS(f)=f+Id
Id being of course the identity
The k-operator of Schost
He's simply defined by :
Sk(f)=f+k.Id
Propriety
These operators have a lot of proprieties. As an example, their inverse are very simple : Inv(Sk)=S(-k).
Bertou's transform
It's another name for the 0-operator of Schost.
It has a surprising amount of proprieties...