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29 March 2024
 
  » arxiv » 1104.3461

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Singular conformally invariant trilinear forms and generalized Rankin Cohen operators
Clerc Jean-Louis ; Beckmann Ralf ;
Date 18 Apr 2011
AbstractThe 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 formulae are obtained. The main tool is a Bernstein-Sato identity for the kernel of the forms.
Source arXiv, 1104.3461
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