The truncated complex $K$-moment problem
The truncated complex $K$-moment problem
Let $\gamma \equiv \gamma ^{\left ( 2n\right ) }$ denote a sequence of complex numbers $\gamma _{00}, \gamma _{01}, \gamma _{10}, \dots , \gamma _{0,2n}, \dots , \gamma _{2n,0}$ ($\gamma _{00}>0, \gamma _{ij}=\bar {\gamma }_{ji}$), and let $K$ denote a closed subset of the complex plane $\mathbb {C}$. The Truncated …