%0 Journal Article %A Klimov, Andrei B. %A Seyfarth, Ulrich %A de Guise, Hubert %A Sánchez Soto, Luis Lorenzo %T SU(1,1) covariant s-parametrized maps %D 2021 %@ 1751-8113 %U https://hdl.handle.net/20.500.14352/7820 %X We propose a practical recipe to compute the s-parametrized maps for systems with SU(1, 1) symmetry using a connection between the Q- and P-symbols through the action of an operator invariant under the group. This establishes equivalence relations between s-parametrized SU(1, 1)-covariant maps. The particular case of the self-dual (Wigner) phase-space functions, defined on the upper sheet of the two-sheet hyperboloid (or, equivalently, inside the Poincare disc) are analysed. %~