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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 totalin $L^2(S)$. Here $S$ is a smooth, closed, connected surface in $\mathbb{R}^3$.

Completeness of the set $\{e^{ik\beta \cdot s}\}|_{\forall \beta \in S^2}$