For the heaviest and simplest atomic system resonant transfer and excitation involving the innermost shell shave been investigated . We measured for H-like U^91.+ projectiles the KLjLj-RTE Using a H(2) gas target providing the narrowest possible Compton profile for atomically confined quasi-free target electrons. We studied the emission patterns of the cascade decay of doubly excited He-like U90^+ ions where the first hypersatellite (Kαi-H) and the second satellite (Kαi′-S) transitions are energetically separated . Although the REC cascadecontributions to the satellite lines (Kαi′-S) dominate, the RTE contributions could be isolated. In particular,the hypersatellite (Kαi-H) transitions are free of REC contributions - neglecting possible small interference effects.