“…Given a sequence W := (w k,l ) k∈N,0≤l<m k of complex numbers, we denote by Φ(W ) := (ϕ k,l ) k∈N,0≤l<m k the divided differences of W defined by induction as in [18]. We denote bỹ A 0 p (V ) the set of all the sequences W := (w k,l ) k∈N,0≤l<m k such that their divided differences Φ(W ) := (ϕ k,l ) k∈N,0≤l<m k satisfy that for all ε > 0 there is A ε > 0 such that for all n ∈ N and all |z k | ≤ 2 n and 0 ≤ l < m k we have δ k,l := |ϕ k,l |2 n(l+m 1 +...+m k−1 ) ≤ A ε exp(εp(2 n )).…”