Sparse Hamburger Moment Sequences and Completions in Several Variables
  Putinar and Vasilescu have given an algebraic characterization of Hamburger moment sequences in several variables. In this paper we give a characterization of sparse moment subsequences of Hamburger moment sequences and consider the problem of completion of these moment subsequences. 
Saroj Aryal, Hayoung Choi, and Farhad Jafari
math.FA