We study the effect of electron-electron interactions on the resonant-
tunneling spectroscopy of the localized states in a barrier. Using a s
imple model of three localized states, we show that, due to the Coulom
b interactions, a single state can give rise to two resonant peaks in
the conductance as a function of gate voltage, G(V-g). We also demonst
rate that an additional higher-order resonance in between these two pe
aks become possible due to the resonant-tunneling process involving tw
o-electron transitions. We have observed both these effects in GaAs tr
ansistor microstructures by studying the time evolution of three adjac
ent G(V-g) peaks caused by fluctuating occupancy of an isolated impuri
ty (modulator).