A tomographic description for classical and quantum cosmological perturbations

Classical and quantum perturbations can be described in terms of marginal distribution functions in the framework of tomographic cosmology. In particular, the so-called Radon transformation and the mode-parametric quantum oscillator description can give rise to links between quantum and classical regimes. The approach results in a natural scheme to discuss the transition from quantum to classical perturbations and then it could be a workable scheme to connect primordial fluctuations with the large-scale structure observed today.