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On the Indefinite Trigonometric Moment Problem of I. S. Iohvidov and M. G. Kreîn
Author(s) -
Constantinescu Tiberiu,
Gheondea Aurelian
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951710106
Subject(s) - mathematics , trigonometry , trigonometric functions , simple (philosophy) , moment (physics) , characterization (materials science) , moment problem , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , geometry , optics , dentistry , statistics , epistemology , classical mechanics , principle of maximum entropy , medicine , philosophy , physics
An indefinite trigonometric moment problem is solved using the one‐step completion and the geometry involved in extending factorizations in Kreîn spaces. In addition, a description of all the solutions is obtained as well as a simple characterization of the case when there exists exactly one solution of the problem.