J.-L. Clerc, T. Kobayashi, B. Ørsted, and M. Pevzner, Generalized Bernstein-Reznikov integrals. Mathematische Annalen, 349(2):395-431, 2011. (published online first, on 4 May 2010). DOI: 10.1007/s00208-010-0516-4. arXiv:0906.2874 [math.CA]..

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.

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