2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221604A review of the symplectic tomographic approaches within the framework of star-product quantization is presented. The classical statistical mechanics within the framework of the tomographic representation is considered. The kernels of star-product of functions - symbols of operators in classical and quantum mechanics are presented.Talk presented at the XV Central European Workshop on Quantum Optics (Belgrade, May-June, 2008), to appear in Physica Scripta TQuantum Physicstext