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arXiv · 0711.4798

Conformal Powers of the Laplacian via Stereographic Projection

C. Robin Graham
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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.

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C. Robin Graham. 2007-12-15. Conformal Powers of the Laplacian via Stereographic Projection. https://doi.org/10.3842/sigma.2007.121

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