Interpolation of vector-valued real analytic functions

Let omega subset of or equal to R(d) be an open domain. The sequentially complete DF-spaces E are characterized such that for each (some) discrete sequence (z(n)) subset of or equal to omega, a sequence of natural numbers (k(n)) and any family (X(n,alpha))(nis an element ofN), (\alpha\less than or equal tokn) subset of or equal to E the infinite system of equations ((partial derivativezalpha)/(partial derivative\alpha\f))(z(n)) = x(n,alpha) for nis an element of N, alpha is an element of N(d), \alpha\ less than or equal to k(n), has an E-valued real analytic solution f.