Range spaces and inversion formulas for the exponential radon transform and its dual

We consider the exponential Radon transform R-t(mu) and its dual R-mu on R-2 that generalize the classical Radon transform and its dual on R-2. In this paper we characterize spaces of functions and distributions on which the transforms R-t(mu) and R-mu are bijective, give inversion formulas for these transforms, and establish the Plancherel formula for the transform R-t(mu).