An analytical parameterization for all solutions of the two-dimensional moment problem under Carleman-type conditions

Sergey M. Zagorodnyuk

The two-dimensional moment problem consists of finding a positive Borel measure $\mu$ in ${\mathbb{R}}^2$ such that ${\int }_{{\mathbb{R}}^2}{t}_1^m{t}_2^{n}d\mu =s_{m,n}$, $m,n=0,1,2,...$, wher…