Generalized Bernstein--Reznikov integrals
Classical Analysis and ODEs
2011-06-23 v4 Representation Theory
Abstract
We find a closed formula for the triple integral on spheres in whose kernel is given by powers of the standard symplectic form. This gives a new proof to the Bernstein--Reznikov integral formula in the case. Our method also applies for linear and conformal structures.
Keywords
Cite
@article{arxiv.0906.2874,
title = {Generalized Bernstein--Reznikov integrals},
author = {Jean-Louis Clerc and Toshiyuki Kobayashi and Bent Ørsted and Michael Pevzner},
journal= {arXiv preprint arXiv:0906.2874},
year = {2011}
}