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

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

2011-03-25

arxiv.org/abs/1103.5000v1

Mathematics

Classical Analysis and ODEs

7 pages in French with an abridged english version

Scientific paper

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 $P_l^{(2n-1,1)}(\cos(2d))$.

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