2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221040The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-distribution and photon number tomography are reconsidered in the new setting. New tomographic schemes based on coherent states and nonlinear coherent states of deformed oscillators, including q-oscillators, are suggested. The associated identity decompositions providing Gram-Schmidt operators are explicitly given, and contact with the Agarwal-Wolf $Ω$-operator ordering theory is made.A slightly enlarged version in which contact with the Agarwal-Wolf $Ω$-operator ordering theory is madeQuantum PhysicsHigh Energy Physics - TheoryMathematical Physicstext