%0 Journal Article
%T A remark on Bourgain¡¯s distributional inequality on the Fourier spectrum of Boolean functions
%A Hamed Hatami
%J Online Journal of Analytic Combinatorics
%D 2006
%I University of Auckland
%X Bourgain¡¯s theorem says that under certain conditions a function $fcolon{0,1}_2^n o {0,1}$ can be approximated by a function $g$ which depends only on a small number of variables. By following his proof we obtain a generalization for the case that there is a nonuniform product measure on the domain of $f$.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/10