%0 Journal Article
%T Generalized Bernstein--Reznikov integrals
%A Jean-Louis Clerc
%A Toshiyuki Kobayashi
%A Bent £¿rsted
%A Michael Pevzner
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00208-010-0516-4
%X We find a closed formula for the triple integral on spheres in $\mathbb{R}^{2n}\times\mathbb{R}^{2n}\times\mathbb{R}^{2n}$ whose kernel is given by powers of the standard symplectic form. This gives a new proof to the Bernstein--Reznikov integral formula in the $n=1$ case. Our method also applies for linear and conformal structures.
%U http://arxiv.org/abs/0906.2874v4