Hankel operators and the Stieltjes moment problem
نویسندگان
چکیده
منابع مشابه
Solution of the Stieltjes Truncated Moment Problem
The conditions of solvability and description of all solutions of the truncated Stieltjes moment problem are obtained using as the starting point earlier results on the Hamburger truncated moment problem. An algebraic algorithm for the explicit solution of both problems is proposed.
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1 Université Pierre et Marie Curie, Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Tour 24, 2ième ét., 4, Place Jussieu, F 75252 Paris Cedex 05, France. 2 H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, Division of Theoretical Physics, ul. Eliasza-Radzikowskiego 152, PL 31-342 Kraków, Poland. 3LIPN, CNRS UMR 7030, Institut Galilée Universi...
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In the classical Stieltjes and Hamburger's moment problem the sequence of maximum entropy approx-imants, whose rst M moments are equal to given ones, is considered. It is proved that whenever an innnite moment problem is determined then maximum entropy approximants converge in entropy to the function characterized by given moments. Entropy-convergence is proved by using exclusively existence an...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2010
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.08.004