A remark on translates of a box spline

We prove an express theorem on the stability of integer translates of a box spline and clear proposition 4. 10. 2 in [6] for box spline case. Also, we provide a way to construct a linear projection from Lp to the space of integer translates of a box spline. Consequently, the equivalence among the stability, global linear independence and local linear independence of translates of a box spile follows.