Intertwinors on Functions over the Product of Spheres

Abstract

We give explicit formulas for the intertwinors on the scalar functions over the product of spheres with the natural pseudo-Riemannian 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.

References in corpus (3)

• Analysis on the minimal representation of O(p,q) -- III. ultrahyperbolic equations on R^{p-1,q-1}
• Analysis on the minimal representation of O(p,q) -- I. Realization via conformal geometry
• Translation to Bundle Operators

Cited by in corpus (2)

• Spectra of Higher Spin Operators on the Sphere
• Intertwinors on Differential Forms over the Product of Spheres