Projections in vector spaces over finite fields
Classical Analysis and ODEs
2017-07-31 v5 Combinatorics
Abstract
We study the projections in vector spaces over finite fields. We prove finite fields analogues of the bounds on the dimensions of the exceptional sets for Euclidean projection mapping. We provide examples which do not have exceptional projections via projections of random sets. In the end we study the projections of sets which have the (discrete) Fourier decay.
Keywords
Cite
@article{arxiv.1702.03648,
title = {Projections in vector spaces over finite fields},
author = {Changhao Chen},
journal= {arXiv preprint arXiv:1702.03648},
year = {2017}
}
Comments
14 pages, no figures, some typos were fixed, last version, to appear in Ann. Acad. Sci. Fenn. Math