  It is one of a series of papers whose goal is to stabilize the twisted trace
formula. We consider here a "twisted space" over the real field. We prove in
this twisted situation the results obtained by Arthur in his Selecta's paper.
That is the existence of transfer of tempered representations. We use the
Paley-Wiener's theorems of Renard and Delorme-Mezo, the work of Shelstad about
transfer of functions and a recent result of Moeglin about super-tempered
representations. As corollaries, we obtain a stable version of the Paley-Wiener
theorem and the fact that transfer of functions preserves K-finitude.
