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arXiv · 1104.3461

Singular conformally invariant trilinear forms and generalized Rankin Cohen operators

Clerc Jean-Louis·Beckmann Ralf
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Abstract

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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Clerc Jean-Louis, Beckmann Ralf. 2011-04-18. Singular conformally invariant trilinear forms and generalized Rankin Cohen operators. https://arxiv.org/abs/1104.3461

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