On the structure of boolean functions with small spectral norm

Amir Shpilka, Avishay Tal, Ben lee Volk
2014 Proceedings of the 5th conference on Innovations in theoretical computer science - ITCS '14  
In this paper we prove results regarding Boolean functions with small spectral norm (the spectral norm of f is f 1 = α |f (α)|). Specifically, we prove the following results for functions f : {0, 1} n → {0, 1} with f 1 = A.
doi:10.1145/2554797.2554803 dblp:conf/innovations/ShpilkaTV14 fatcat:tbjq4axdaba2nctlno2rrxlnju