Two variable subnormal completion problem

Given m\geq 0 and a finite collection of pairs of positive numbers C= \{(\alpha_{1}(k), \alpha_{2}(k))\}_{|k|\leq m}(|k|:=k_{1}+k_{2}) . The two variable subnormal completion problem is to find necessary and sufficient conditions to guarantee the existence of a two vari- able subnormal weighted shif... View More