On the real multidimensional rational $K$-moment problem
On the real multidimensional rational $K$-moment problem
We present a solution to the real multidimensional rational $K$-moment problem, where $K$ is defined by finitely many polynomial inequalities. More precisely, let $S$ be a finite set of real polynomials in $\underline {X}=(X_1,\ldots ,X_n)$ such that the corresponding basic closed semialgebraic set $K_S$ is nonempty. Let $E=D^{-1}\mathbb {R}[\underline {X}]$ …