T. Constantinescu et A. Gheondea, ON THE INDEFINITE TRIGONOMETRIC MOMENT PROBLEM OF IOHVIDOV,I.S. AND KREIN,M.G., Mathematische Nachrichten, 171, 1995, pp. 79-84
An indefinite trigonometric moment problem is solved using the one-ste
p completion and the geometry involved in extending factorizations in
Krein spaces. In addition, a description of all the solutions is obtai
ned as well as a simple characterization of the case when there exists
exactly one solution of the problem.