“…If |∆(e iθ )| = 2 and e iθ is not a resonance, then Lemma 3.2 shows that |ϕ j (e i(θ+cσ j ) )| = O(j) as j → ∞ uniformly in c in compact subsets of C, while K kp−1 (e iθ , e iθ ; µ) grows like a constant times k 3 as k → ∞ (see also [5,Theorem 1.1]). Taken together, this implies (24) in this case. Lemma 3.8 and the calculations preceding it give us a complete proof of Theorem 3.1 in the case µ * = µ.…”