Conformal Powers of the Laplacian via Stereographic Projection
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147207 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748812305498112 |
|---|---|
| author | Graham, C.R. |
| author_facet | Graham, C.R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-12-07T20:56:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147207 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:56:19Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Graham, C.R. 2019-02-13T19:04:33Z 2019-02-13T19:04:33Z 2007 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. 1815-0659 2000 Mathematics Subject Classification: 53B20 https://nasplib.isofts.kiev.ua/handle/123456789/147207 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. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This research was partially supported by NSF grant # DMS 0505701. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Conformal Powers of the Laplacian via Stereographic Projection Article published earlier |
| spellingShingle | Conformal Powers of the Laplacian via Stereographic Projection Graham, C.R. |
| title | Conformal Powers of the Laplacian via Stereographic Projection |
| title_full | Conformal Powers of the Laplacian via Stereographic Projection |
| title_fullStr | Conformal Powers of the Laplacian via Stereographic Projection |
| title_full_unstemmed | Conformal Powers of the Laplacian via Stereographic Projection |
| title_short | Conformal Powers of the Laplacian via Stereographic Projection |
| title_sort | conformal powers of the laplacian via stereographic projection |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147207 |
| work_keys_str_mv | AT grahamcr conformalpowersofthelaplacianviastereographicprojection |