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[...] In this section we treat the domain of a boolean function as ${\mathbb F}_2^n$, an $n$dimensional vector space over the field ${\mathbb F}_2$. As mentioned earlier, it can be natural to index the Fourier characters $\chi_S : {\mathbb F}_2^n \to \{1,1\}$ not by subsets $S \subseteq [n]$ but by their $0$$1$ indicator vectors $\gamma [...] 

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