ON THE INDEFINITE TRIGONOMETRIC MOMENT PROBLEM OF IOHVIDOV,I.S. AND KREIN,M.G.

Citation
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
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
171
Year of publication
1995
Pages
79 - 84
Database
ISI
SICI code
0025-584X(1995)171:<79:OTITMP>2.0.ZU;2-U
Abstract
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.