Singular conformally invariant trilinear forms and generalized Rankin Cohen operators

Abstract

The most singular residues of the standard meromorphic family of trilinear conformally invariant forms on ${\mathcal{C}}_c^{\infty }({\mathbb{R}}^d)$ are computed. Their expression involves covariant bidifferential operators (generalized Rankin Cohen operators), for which new formulæ\ are obtained. The main tool is a Bernstein-Sato identity for the kernel of the forms.

References in corpus (3)

• Conformally Equivariant Quantization - a Complete Classification
• Singular conformally invariant trilinear forms and covariant differential operators on the sphere
• Invariant Bilinear Differential Pairings on Parabolic Geometries

Cited by in corpus (1)

• Tensor products of complementary series of rank one Lie groups