
SIGMA 7 (2011), 003, 7 pages arXiv:1007.5069
http://dx.doi.org/10.3842/SIGMA.2011.003
Intertwinors on Functions over the Product of Spheres
Doojin Hong
Department of Mathematics, University of North Dakota, Grand Forks ND 58202, USA
Received August 23, 2010, in final form December 30, 2010; Published online January 06, 2011
Abstract
We give explicit formulas for the intertwinors on the scalar functions over the
product of spheres with the natural pseudoRiemannian product metric using the spectrum
generating technique. As a consequence, this provides another proof of the even
order conformally invariant differential operator formulas obtained
earlier by T. Branson and the present author.
Key words:
intertwinors; conformally invariant operators.
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