Geodesic
Decomposition of Boolean functions into the sum of products of subfunctions
Diskretnaya Matematika, Tome 5 (1993) no. 3, pp. 102-104

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We obtain a theorem on the representation of Boolean functions in the polynomial form $$ f(x,y)=\sum_\sigma\sum_\tau\alpha_{\tau\sigma}f(\tau,y)f(x,\sigma), $$ where the Boolean summations are taken over all Boolean vectors $\sigma$ and $\tau$, $\alpha_{\tau\sigma}\in\{0,1\}$, $x$ and $y$ are collections of Boolean variables. We also give a method for finding the coefficients $\alpha_{\tau\sigma}$. 
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     author = {S. F. Vinokurov and N. A. Peryazev},
     title = {Decomposition of {Boolean} functions into the sum of products of subfunctions},
     journal = {Diskretnaya Matematika},
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     number = {3},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1993_5_3_a8/}
}
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S. F. Vinokurov; N. A. Peryazev. Decomposition of Boolean functions into the sum of products of subfunctions. Diskretnaya Matematika, Tome 5 (1993) no. 3, pp. 102-104. http://geodesic.mathdoc.fr/item/DM_1993_5_3_a8/