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ArticleOriginal scientific text

Title

Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie

Authors 1

Affiliations

  1. Université Paris-Sud, Batiment 425, 91405 Orsay Cedex, France

Abstract

We develop several methods of realization of scalar product and generalized moment problems. Constructions are made by use of a Hilbertian method or a fixed point method. The constructed solutions are rational fractions and exponentials of polynomials. They are connected to entropy maximization. We give the general form of the maximizing solution. We show how it is deduced from the maximizing solution of the algebraic moment problem.

Keywords

ENG
moments, scalar product, entropy maximization

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Studia Mathematica
1997/124/3
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Pages:
199-213
Main language of publication
French
Received
1992-10-13
Accepted
1995-06-12
Published
1997
Exact and natural sciences