Moments from their very truncations

Abstract

It is known that positive definiteness is not enough for the multidimensional moment problem to be solved. We would like throw in to the garden of existing in this matter so far results one more, a result which takes into considerations the utmost possible truncations.Comment: to appear in Contemporary Mathematics, Proc. 5th Conference on Function Spaces, May 16-20, 2006, Southern Illinois University, Edwardsville, Illinois; ed. Krzysztof Jaros