Conformal Powers of the Laplacian via Stereographic Projection

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• ISSN: 1815-0659
• Main Author: Graham, C.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147207
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Conformal Powers of the Laplacian via Stereographic Projection / C.R. Graham // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 5 назв. — англ.

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 E...