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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148574 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862615302742736896 |
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| author | Clerc, Jean-Louis |
| author_facet | Clerc, Jean-Louis |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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 .
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| first_indexed | 2025-11-29T13:26:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148574 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-29T13:26:35Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ Clerc, Jean-Louis |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148574 |
| work_keys_str_mv | AT clercjeanlouis anotherapproachtojuhlsconformallycovariantdifferentialoperatorsfromsntosn1 |