2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72580For a locally compact group, property RD gives a control on the convolution norm of any compactly supported measure in terms of the $L^2$-norm of its density and the diameter of its support. We give a complete classification of those Lie groups with property RD.29 pagesGroup TheoryOperator Algebras22D15, 22E30, 43A15 and 46L05Connected Lie groups and property RDtext