## Conformal powers of the Laplacian via stereographic projection

### Summary

Summary: 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.

53B20

### Keywords/Phrases

conformal Laplacian, stereographic projection