A truncated indefinite Stieltjes moment problem

Abstract

A truncated indefinite Stieltjes moment problem in the class Nkκ of generalized Stieltjes functions is studied. The set of solutions of Stieltjes moment problem is described by Schur step-by-step algorithm, which is based on the expansion of the solutions in a generalized Stieltjes continued fraction. The resolvent matrix is represented in terms of generali-zed Stieltjes polynomials. A factorization formula for the resolvent matrix is found.