2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106090In the present note we discuss two different ring structures on the set of holomorphic discrete series of a causal symmetric space of Cayley type $G/H$ and we suggest a new interpretation of Rankin-Cohen brackets in terms of intertwining operators arising in the decomposition of tensor products of holomorphic discrete series representations.Representation TheoryNumber Theory22E46; 43A85; 11F60text