SINGULAR CONFORMALLY INVARIANT TRILINEAR FORMS, II THE HIGHER MULTIPLICITY CASE
Let S be the sphere of dimension n − 1, n ≥ 4. Let πλλ∈ℂ$$ {\left({\uppi}_{\uplambda}\right)}_{{{}_{\uplambda}}_{\in \mathbb{C}}} $$ be the scalar principal series of representations of the conformal group SO0(1; n), realized on C∞(S). For λ = (λ1, λ2, λ3,) ∈ ℂ3, let Tri(λ) be the space of continuous trilinear forms on C∞(S) × C∞(S) × C∞(S) which are invariant under πλ1 ⊗ πλ2 ⊗ πλ3. For each value of λ, the dimension of Tri(λ) is computed and a basis of Tri(λ) is described.