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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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147207 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147207 |
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dspace |
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irk-123456789-1472072019-02-14T01:26:01Z Conformal Powers of the Laplacian via Stereographic Projection Graham, C.R. 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. 2007 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147207 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Graham, C.R. |
| spellingShingle |
Graham, C.R. Conformal Powers of the Laplacian via Stereographic Projection Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Graham, C.R. |
| author_sort |
Graham, C.R. |
| title |
Conformal Powers of the Laplacian via Stereographic Projection |
| title_short |
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_sort |
conformal powers of the laplacian via stereographic projection |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147207 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT grahamcr conformalpowersofthelaplacianviastereographicprojection |
| first_indexed |
2023-05-20T17:26:50Z |
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2023-05-20T17:26:50Z |
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1796153313934180352 |