# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 34 (2005) pp.655-666

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### Abstract

Given a collection of complex numbers $\gamma \equiv \{\gamma _{ij}\}\,\,\,(0\leq i+j\leq 2n,\,\,\,|i-j|\leq n)$ with $\gamma _{00}>0$ and $\gamma _{ji}=\bar{\gamma}_{ij},$ we consider the moment problem for $\gamma$ in the case of $n=2$, which is refered to Embry quartic moment problem. In this note we give a solution for the singular case.

MSC(Primary) 15A57 47A57, 44A60, 47A20 truncated complex moment problem, representing measure, quartic moment problem, flat extension