%0 Journal Article
%T Formules explicites du noyau de la chaleur sur l'espace projectif quaternionique
%A Ali Hafoud
%J Mathematics
%D 2011
%I arXiv
%X In this note we give an explicit integral representation and an expanssion for the heat kernel $ H_n(t;x,y)$ associated to Fubini-Study Laplacians on quaternionic projective spaces $\mathbb{P}^n(\mathbb H)$, $n \geq 1$. This was possible by establishing a real integral representation formula for Jacobi polynomials of type $P_l^{(2n-1,1)}(\cos(2d))$.
%U http://arxiv.org/abs/1103.5000v1