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Boolean functions with small spectral norm, revisited

Published online by Cambridge University Press:  16 May 2018

TOM SANDERS
TOM SANDERS*
Affiliation:
Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG. e-mail: [email protected]
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Abstract

We show that if f is a Boolean function on F2n with spectral norm at most M then there is some L ≤ exp(M3+o(1)) and subspaces V1,. . .,VL such that f = Σi ± 1Vi.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 2 , September 2019 , pp. 335 - 344
Copyright
Copyright © Cambridge Philosophical Society 2018 

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