# Formules explicites du noyau de la chaleur sur l'espace projectif quaternionique

Authors
Type
Preprint
Publication Date
Mar 25, 2011
Submission Date
Mar 25, 2011
Source
arXiv
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 $P_l^{(2n-1,1)}(\cos(2d))$.