Octav Olteanu1, Janina Mihaela Mih

This review paper starts by recalling two main results on abstract Markov moment problem. A corresponding
application involving concrete spaces of functions is proved in detail. In the end, using polynomial
approximation on special unbounded closed subsets, some multidimensional Markov moment problem on such
subsets are recalled, without repeating the proofs. Our approximation results solve the difficulty arising from
the fact that there exist positive polynomials on


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