  It is proved that the set $\{e^{ik\beta \cdot s}\}|_{\forall \beta \in S^2}$,
where $S^2$ is the unit sphere in $\mathbb{R}^3$, $k>0$ is a fixed constant,
$k^2$ is not a Dirichlet eigenvalue of the Laplacian in $D$, $s\in S$, is total
in $L^2(S)$. Here $S$ is a smooth, closed, connected surface in $\mathbb{R}^3$.
