Another approach to Juhl's conformally covariant differential operators from \(S^n\) to \(S^{n-1}\)

DOI10.3842/SIGMA.2017.026zbMath1365.58020arXiv1612.01856MaRDI QIDQ524775

Jean-Louis Clerc

Publication date: 3 May 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01856

zbMATH Keywords

conformally covariant differential operatorsJuhl's covariant differential operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (10)

Shift operators, residue families and degenerate Laplacians ⋮ Conformally covariant differential operators for the diagonal action of \(O(p,q)\) on real quadrics ⋮ Another approach to Juhl's conformally covariant differential operators from \(S^n\) to \(S^{n-1}\) ⋮ Inversion of Rankin-Cohen operators via holographic transform ⋮ Conformally covariant bi-differential operators for differential forms ⋮ Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order ⋮ Conformal symmetry breaking differential operators on differential forms ⋮ Bernstein-Sato identities and conformal symmetry breaking operators ⋮ Symmetry breaking differential operators, the source operator and Rodrigues formulae ⋮ Residue families, singular Yamabe problems and extrinsic conformal Laplacians

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• Another approach to Juhl's conformally covariant differential operators from \(S^n\) to \(S^{n-1}\)
• Families of conformally covariant differential operators, Q-curvature and holography
• Symmetry breaking for representations of rank one orthogonal groups
• Conformally invariant powers of the Dirac operator in Clifford analysis
• Conformal symmetry breaking differential operators on differential forms

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