English

An abstract $L^2$ Fourier restriction theorem

Classical Analysis and ODEs 2018-01-11 v1

Abstract

An L2L^2 Fourier restriction argument of Bak and Seeger is abstracted to the setting of locally compact abelian groups. This is used to prove new restriction estimates for varieties lying in modules over local fields or rings of integers Z/NZ\mathbb{Z}/N\mathbb{Z}.

Keywords

Cite

@article{arxiv.1801.03180,
  title  = {An abstract $L^2$ Fourier restriction theorem},
  author = {Jonathan Hickman and James Wright},
  journal= {arXiv preprint arXiv:1801.03180},
  year   = {2018}
}

Comments

11 pages. 0 figures

R2 v1 2026-06-22T23:41:01.936Z