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Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹
A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ⊂Sⁿ. The family of conformally covariant differential operators from Sⁿ to Sⁿ⁻¹...
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Інститут математики НАН України
2017
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148574 |
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irk-123456789-1485742019-02-19T01:29:09Z Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ Clerc, Jean-Louis A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ⊂Sⁿ. The family of conformally covariant differential operators from Sⁿ to Sⁿ⁻¹ introduced by A. Juhl is obtained by composing these operators on Sⁿ and taking restrictions to Sⁿ⁻¹ . 2017 Article Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ / Jean-Louis Clerc // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58J70; 43A85 DOI:10.3842/SIGMA.2017.026 http://dspace.nbuv.gov.ua/handle/123456789/148574 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ⊂Sⁿ. The family of conformally covariant differential operators from Sⁿ to Sⁿ⁻¹ introduced by A. Juhl is obtained by composing these operators on Sⁿ and taking restrictions to Sⁿ⁻¹ . |
| format |
Article |
| author |
Clerc, Jean-Louis |
| spellingShingle |
Clerc, Jean-Louis Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Clerc, Jean-Louis |
| author_sort |
Clerc, Jean-Louis |
| title |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| title_short |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| title_full |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| title_fullStr |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| title_full_unstemmed |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| title_sort |
another approach to juhl's conformally covariant differential operators from sⁿ to sⁿ⁻¹ |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148574 |
| citation_txt |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ / Jean-Louis Clerc // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 12 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT clercjeanlouis anotherapproachtojuhlsconformallycovariantdifferentialoperatorsfromsntosn1 |
| first_indexed |
2023-05-20T17:30:10Z |
| last_indexed |
2023-05-20T17:30:10Z |
| _version_ |
1796153439786369024 |