The Quaternionic Moment Problem

R. Ben Taher, K. Schmüdgen, E. H. Zerouali

In this paper we develop an approach to the full quaternionic moment problem. We define a hierarchy ${\mathbb{H}}^k[q^{\ast },q]\subset {\mathbb{H}}^{k+1}[q^{\ast },q]$, $k\in \mathbb{N}_…