It is a swept SA, at least for the spectrum analyzer mode. The RBW is implemented digitally on the DSP (and on their DDC ASIC). If you look at the files of the OPSW, you can find the DSP programs associated with the various RBW settings.
It does _not_ have an FFT SA mode. But it can do other DSP-based measurements like Power, Freuqency, Power-over-time etc.; and then for the communication analyzer functions the baseband processing happens on the dedicated link units.