Fuglede's conjecture holds in $\mathbb{Q}_p$
Classical Analysis and ODEs
2015-12-31 v1 Functional Analysis
Number Theory
Abstract
Fuglede's conjecture in is proved. That is to say, a Borel set of positive and finite Haar measure in is a spectral set if and only if it tiles by translation.
Keywords
Cite
@article{arxiv.1512.08904,
title = {Fuglede's conjecture holds in $\mathbb{Q}_p$},
author = {Aihua Fan and Shilei Fan and Lingmin Liao and Ruxi Shi},
journal= {arXiv preprint arXiv:1512.08904},
year = {2015}
}
Comments
24 pages