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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148574 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148574 |
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Clerc, Jean-Louis 2019-02-18T16:02:02Z 2019-02-18T16:02:02Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148574 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 . It is a pleasure to thank the anonymous referees for their contributions which helped to improve and reshape the initial version of this article. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ |
| spellingShingle |
Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ Clerc, Jean-Louis |
| 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 |
| author |
Clerc, Jean-Louis |
| author_facet |
Clerc, Jean-Louis |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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 .
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT clercjeanlouis anotherapproachtojuhlsconformallycovariantdifferentialoperatorsfromsntosn1 |
| first_indexed |
2025-11-29T13:26:35Z |
| last_indexed |
2025-11-29T13:26:35Z |
| _version_ |
1850854943530942464 |