Multiple convolutions

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Let $\phi(x)=1$ on [0,1] and 0 anywhere else. Is there a was to say what the support of the n-times convolution of phi with itself, that I wann to denote by $B_n$, is? In especially is it possible to find $h_n$ such that $\phi (x)=\sum_{n \in \mathbb{Z}} h_n \phi(2x-n)$