  We construct a uniformly discrete sequence $\{\lambda_1 < \lambda_2 <
\cdots\} \subset \mathbb{R}$ and functions $g$ and $\{g_n^*\}$ in
$L^2(\mathbb{R})$, such that every $f \in L^2(\mathbb{R})$ admits a series
expansion \[ f(x) = \sum_{n=1}^{\infty} \langle f, g_n^* \rangle \,
g(x-\lambda_n) \] convergent in the $L^2(\mathbb{R})$ norm.
