Sobolev orthogonal polynomials have been subject of great interest during the last decade. They are useful, from the theoretical point of view, to extend numerous concepts and properties of orthogonal polynomials in the classic sense; and in practice, to model different problems of Physics-mathematics. It is outstanding the fact that until the appearance of these authors' publications, a theory of moments had not been developed for this type of orthogonal polynomials.

Some of the most important scientific contributions are: the authors reduce Sobolev's problem of moments to a system of problems of moments in usual sense; zeros' location of Sobolev Polynomials, indispensable to develop an appropriate asymptotic theory, using for the first time the techniques of dimensioned operator theory; there are generalized the similar results already known for the case of classic orthogonality. The mathematical formalism and method used are original and elegant.

There are presented 6 articles in specialized international magazines, a doctorate, and references of important mathematicians, international events and prizes for the results and contributions carried out with these researches.