Singular conformally invariant trilinear forms and generalized Rankin Cohen operators

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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 formul\ae \ are obtained. The main tool
is a Bernstein-Sato identity for the kernel of the forms.

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