2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156173The Lie group SU(2) endowed with its canonical subriemannian structure appears as a three-dimensional model of a positively curved subelliptic space. The goal of this work is to study the subelliptic heat kernel on it and some related functional inequalities.Update: Added section + Correction of typosAnalysis of PDEsProbabilitytext