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00925njm 22002777a 4500 dc Klimov, Andrei B. author Seyfarth, Ulrich author de Guise, Hubert author Sánchez Soto, Luis Lorenzo author 2021-01-18 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. 1751-8113 10.1088/1751-8121/abd7b4 https://hdl.handle.net/20.500.14352/7820 https://doi.org/10.1088/1751-8121/abd7b4 https://iopscience.iop.org SU(1,1) covariant s-parametrized maps