  We consider the problem of the driven harmonic oscillator in the probability
representation of quantum mechanics, where the oscillator states are described
by fair nonnegative probability distributions of position measured in rotated
and squeezed reference frames in the system's phase space. For some specific
oscillator states like coherent states and nth excited states, the
tomographic-probability distributions (called the state tomograms) are found in
an explicit form. The evolution equation for the tomograms is discussed for the
classical and quantum driven oscillators, and the tomographic propagator for
this equation is studied.
