2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74251We introduce a Littlewood-Paley decomposition related to any sub-Laplacian on a Lie group G of polynomial volume growth; this allows us to prove a Littlewood-Paley theorem in this general setting and to provide a dyadic characterization of Besov spaces equivalent to the classical definition through the heat kernel.17 pagesClassical Analysis and ODEsSpectral Theory22E25, 46E35Littlewood-Paley decompositions and Besov spaces on Lie groups of polynomial growthtext