The service manual for the PM3055 is readily available, but I would be wary of getting any cathode ray tube oscilloscope that comes on and doesn't display a trace.
IMO, the most likely causes, in decreasing order of likelihood, are: a faulty flyback transformer, some fault in the FBT drive circuitry, some fault in the supply rail for the HV section, or some other fault somewhere else that's preventing the display from coming up.
In case it's a toast FBT, it's pretty much like tautech said, you'll need to cannibalize another PM3055 (or a very similar unit, like the PM3050) to repair it.