A Wiener Theorem for Orthogonal Polynomials

A well-known theorem by N. Wiener characterizes the discrete part of a complex Borel measure μ ∈ M(T) on the torus group T. In this note an analoguous result is presented for orthonormal polynomial sequences (pn)n ∈ N 0. For Jacobi polynomials the characterization is investigated in detail.