Interpolation in certain Hilbert spaces of analytic functions

In this article we study, for a Hilbert space $\mathfrak H$ of analytic functions in the open unit disk, the dependence of the structure of the space of sequences $\mathfrak H(Z)=\{\{f(z_k)\}_{k=1}^\infty:f\in\mathfrak H\}$ on the choice of the sequence $Z=\{z_k\}_{k=1}^\infty$ of distinct points of the unit disk.