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Hamburger and Stieltjes moment problems in several variables

Author(s): F.-H. Vasilescu
Journal: Trans. Amer. Math. Soc. 354 (2002), 1265-1278.
MSC (2000): Primary 47A57, 44A60
Posted: November 2, 2001
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Abstract: In this paper we give solutions to the Hamburger and Stieltjes moment problems in several variables, in algebraic terms, via extended sequences. Some characterizations of the uniqueness of the solutions are also presented.

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Additional Information:

F.-H. Vasilescu
Affiliation: U.F.R. de Mathématiques, Université des Sciences et Technologies de Lille, U.M.R. du C.N.R.S. 8524, 59655 Villeneuve d'Ascq Cedex, France
Email: fhvasil@agat.univ-lille1.fr

DOI: 10.1090/S0002-9947-01-02943-9
PII: S 0002-9947(01)02943-9
Received by editor(s): July 10, 2001
Posted: November 2, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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