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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2011 Volume 7, 003, 7 pp. (Mi sigma561)

This article is cited in 1 paper

Intertwinors on Functions over the Product of Spheres

Doojin Hong

Department of Mathematics, University of North Dakota, Grand Forks ND 58202, USA

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.

Keywords: intertwinors; conformally invariant operators.

MSC: 53A30; 53C50

Received: August 23, 2010; in final form December 30, 2010; Published online January 6, 2011

Language: English

DOI: 10.3842/SIGMA.2011.003



Bibliographic databases:
ArXiv: 1007.5069


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