Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem

Given a point w in the upper half-plane Π _ + Π + , we describe the set of all possible values F ( w ) of transforms F(z)\,:=\,∫ [α ,β ](x-z)⁻¹σ (dx) F ( z ) : = ∫ [ α , β ] ( x - z ) - 1 σ ( d x ) , z∈ Π _ + z ∈ Π + , corresponding to solutions σ σ to a (non-degenerate) truncated matricial Hausdorff moment problem. This set turns out to be the intersection of two matrix balls the parameters of which are explicitly constructed from the given data.