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.
@article{bwmeta1.element.bwnjournal-article-smv124i3p199bwm, author = {Valerie Girardin}, title = {M\'ethodes de r\'ealisation de produit scalaire et de probl\`eme de moments avec maximisation d'entropie}, journal = {Studia Mathematica}, volume = {122}, year = {1997}, pages = {199-213}, language = {fr}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv124i3p199bwm} }
Girardin, Valerie. Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie. Studia Mathematica, Tome 122 (1997) pp. 199-213. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv124i3p199bwm/
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