| SIGMA 3 (2007), 121, 4 pages arXiv:0711.4798 http://dx.doi.org/10.3842/SIGMA.2007.121 Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson Conformal Powers of the Laplacian via Stereographic Projection C. Robin Graham Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195-4350, USA Received November 17, 2007; Published online December 15, 2007 Abstract A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula from knowledge of the corresponding conformally invariant operator on Euclidean space (the k-th power of the Euclidean Laplacian) via conjugation by the stereographic projection mapping. Key words: conformal Laplacian; stereographic projection. pdf (138 kb) ps (109 kb) tex (6 kb) References - Branson T., Sharp inequalities, the functional determinant, and the complementary series, Trans. Amer. Math. Soc. 347 (1995), 3671-3742.
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