The Fourier Transform of Restrictions of Functions on the Slice
Combinatorics
2021-11-08 v1 Computational Complexity
Data Structures and Algorithms
Abstract
This paper considers the Fourier transform over the slice of the Boolean hypercube. We prove a relationship between the Fourier coefficients of a function over the slice, and the Fourier coefficients of its restrictions. As an application, we prove a Goldreich-Levin theorem for functions on the slice based on the Kushilevitz-Mansour algorithm for the Boolean hypercube.
Keywords
Cite
@article{arxiv.2111.03213,
title = {The Fourier Transform of Restrictions of Functions on the Slice},
author = {Shravas Rao},
journal= {arXiv preprint arXiv:2111.03213},
year = {2021}
}