Relation between Characteristic Function of Density Operator and Tomogram

In terms of the intermediate coordinate-momentum representation (Chin.Phys.Lett. 18(2001)850) and using the technique of integration within an ordered product of operators, we put the tomography theory into operator version. We reveal the new relation between the tomogram and the characteristic function of the density operator. The new expansion of the density operator in terms of the intermediate coordinate-momentum representation is also obtained.