Singular conformally invariant trilinear forms and generalized Rankin Cohen operators
The most singular residues of the standard meromorphic family of trilinear conformally invariant forms on $\mathcal C^\infty_c(\mathbb R^d)$ 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.
math.RT↗