RT Journal Article T1 SU(1,1) covariant s-parametrized maps A1 Klimov, Andrei B. A1 Seyfarth, Ulrich A1 de Guise, Hubert A1 Sánchez Soto, Luis Lorenzo AB 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. PB IOP Publishing Ltd. SN 1751-8113 YR 2021 FD 2021-01-18 LK https://hdl.handle.net/20.500.14352/7820 UL https://hdl.handle.net/20.500.14352/7820 LA eng NO © 2021 IOP Publishing Ltd.We dedicate this work to the memory of Prof. David J Rowe, of the University of Toronto. The work of ABK is partially supported by the Grant 254127 of CONACyT (Mexico); HdG is supported in part by NSERC of Canada, LLSS is supported by the Spanish Ministerio de Ciencia e Innovacion (Grant PGC2018-099183-B-I00). NO Ministerio de Ciencia e Innovación (MICINN) DS Docta Complutense RD 6 abr 2025