ABSTRACT
This paper gives a survey of some aspects of indeterminate strong moment problems, with a more detailed treatment of a few questions concerned with special types of canonical solutions. The main topics are Nevanlinna parameterization of solutions, the structure of canonical solutions, orthogonal, quasi-orthogonal and pseudo-orthogonal Laurent polynomials, natural, quasi-natural and pseudo-natural solutions, especially natural solutions in the Stieltjes case.
