Generalized Bernstein--Reznikov integrals

Details Generalized Bernstein--Reznikov integrals Generalized Bernstein--Reznikov integrals

2009-06-16

arxiv.org/abs/0906.2874v4

Mathematische Annalen, Volume 349, Number 2, 395-431, (2011)

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1007/s00208-010-0516-4

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.

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