The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$
The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$ will be considered. The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$ requires necessary and sufficient conditions for a multisequence of Hermitian matrices $\{ S_{\gamma } \}_{\gamma \in \Gamma }$ (where $\Gamma$ is a finite subset of $\mathbb …