We find a closed formula for the triple integral on spheres in R2n×R2n×R2n 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.
[ DOI | arXiv | MPIM-preprint | preprint version(pdf) | abstract(html) | SpringerLink | full text]
© Toshiyuki Kobayashi