2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71332We prove that a finitely generated group $G$ hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.10 pages. Accepted in International Mathematics Research NoticesGroup TheoryFunctional Analysistext