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Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹
Інший ID:
2010 Mathematics Subject Classification: 58J70; 43A85
DOI:10.3842/SIGMA.2017.026
DOI:10.3842/SIGMA.2017.026
Посилання:
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.
Підтримка:
It is a pleasure to thank the anonymous referees for their contributions which helped to improve
and reshape the initial version of this article.
Дата:
2017
Переглядів:
621
Завантажень:
263
Анотація:
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 .
