A slight sharpening of LMN
\textit{N. Lineal}, \textit{Y. Mansour} and \textit{N. Nisan} [J. Assoc. Comput. Math. 40, 607--620 (1993; Zbl 0781.94006)] proved that a function computed by a small-depth circuit of limited size has most of its Fourier support on small sets. We improve their bounds. When the bottom fanin is bounded we use essentially their argument, but to reduce the general case to this case without a loss in the asymptotic bounds requires a new argument.
scientific article; zbMATH DE number 1763398