A Recent and Modern Approach to The Moment Problem on R

The moment problem is an important problem in Functional Analysis and in Probability measure.

It goes back to Stieltjes, around 1890. There is still an important ongoing interest in the recent

literature. But, up today, the main theoretical resource (Shohat and Tamarkin, 1934) does not

have the modern exposure it deserves, especially in the current development of measure theory of

integration. Besides, the multivariate version is far less exploited. In this paper, a full exposure of

such a theory is presented, using the latest knowledge of measure theory and functional analysis. As

a result, the basis of future development is layed out and the accessibility of the theory by modern

graduate students and researchers is guaranteed.

Author (s) Details

Moussoda Toure

LERSTAD, Gaston Berger University, Saint-Louis, Senegal.

Gane Samb Lo

LERSTAD, Gaston Berger University, Saint-Louis, Senegal and LSTA, Pierre and Marie Curie University, Paris VI, France and AUST – African University of Science and Technology, Abuja, Nigeria.

Aladji Babacar Niang

LERSTAD, Gaston Berger University, Saint-Louis, Senegal.

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