  The quantizer-dequantizer formalism is developed for mean value and
probability representation of qubits and qutrits. We derive the star-product
kernels providing the possibility to derive explicit expressions of the
associative product of the symbols of the density operators and quantum
observables for qubits. We discuss an extension of the quantizer-dequantizer
formalism associated with the probability and observable mean-value
descriptions of quantum states for qudits.
