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

• Autorzy: Valerie Girardin
• Języki publikacji: FR EN

Abstrakty

EN

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.

Słowa kluczowe

EN

moments; scalar product; entropy maximization

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 49J35: Minimax problems
• 46E20: Hilbert spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 124
• Numer: 3
• Strony: 199-213

Daty

wydano

1997

otrzymano

1992-10-13

poprawiono

1995-06-12

Twórcy

autor

Valerie Girardin

• Université Paris-Sud, Batiment 425, 91405 Orsay Cedex, France

Bibliografia

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