R. Estrada, VECTOR MOMENT PROBLEMS FOR RAPIDLY DECREASING SMOOTH FUNCTIONS OF SEVERAL VARIABLES, Proceedings of the American Mathematical Society, 126(3), 1998, pp. 761-768
The existence of rapidly decreasing smooth solutions of moment problem
s for functions of several variables with values in a Frechet space is
obtained. It is shown that the corresponding results for functions wi
th values in a general topological vector space do not hold.