PROJECTIONS IN VECTOR SPACES OVER FINITE FIELDS

被引：2

作者：

Chen, Changhao ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2018年 / 43卷 / 01期

关键词：

Exceptional sets of projections; finite fields; random subsets; Fourier transform; HAUSDORFF DIMENSION; SET;

D O I：

10.5186/aasfm.2018.4307

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：171 / 185

页数：15