Recovering functions from the Paley-Wiener amalgam space

In this paper we show that functions from the Paley-Wiener amalgam space $(PW,l^1)={f\in L^2($\mathbb{R}$): \sum|\hat{f}(\xi+2\pi m) |{L^2([-\pi,\pi])} < \infty}$ enjoy similar recovery properties as the classical Paley-Wiener space. Specifically, if ${\phi\alpha(x): \alpha\in A}$isaregularfamilyofinterpolatorsand${x_n: n\in $\mathbb{Z}$}$ is a complete interpolating sequence for $L^2([-\pi ,\pi ])$, then the family ${ e^{2\pi i m x}\phi_{\alpha}(x-x_n): m,n\in $\mathbb{Z}$, \alpha\in A } $ may be used to recover $f\in (PW,l^1)$.