Singular conformally invariant trilinear forms, II The higher multiplicity cases
Résumé
Let S be the sphere of dimension n − 1, n ≥ 4. Let (π λ) λ∈C be the scalar principal series of representations of the conformal group SO 0 (1, n), realized on C ∞ (S). For λ = (λ 1 , λ 2 , λ 3) ∈ C 3 , let T ri(λ) be the space of continuous trilinear forms on C ∞ (S) × C ∞ (S) × C ∞ (S) which are invariant under π λ1 ⊗ π λ2 ⊗ π λ3. For each value of λ, the dimension of T ri(λ) is computed and a basis of T ri(λ) is described. 2010 Mathematics Subject Classification : 22E45, 43A80 Key words : conformal covariance, trilinear form, meromorphic family of distributions , conformally covariant differential operator, conformally covariant bi-differential operator.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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