Boolean functions with small spectral norm
Classical Analysis and ODEs
2010-04-02 v2 Combinatorics
Abstract
Suppose that f is a boolean function from F_2^n to {0,1} with spectral norm (that is the sum of the absolute values of its Fourier coefficients) at most M. We show that f may be expressed as +/- 1 combination of at most 2^(2^(O(M^4))) indicator functions of subgroups of F_2^n.
Keywords
Cite
@article{arxiv.math/0605524,
title = {Boolean functions with small spectral norm},
author = {Ben Green and Tom Sanders},
journal= {arXiv preprint arXiv:math/0605524},
year = {2010}
}
Comments
17 pp. Updated references.