Fuglede's conjecture holds in ℚ_p

2015/12/30 by Aihua Fan, Fan, Aihua, Shilei Fan +5
Mathematics · #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.1512.08904

Abstract

Fuglede's conjecture in ℚ_p is proved. That is to say, a Borel set of positive and finite Haar measure in ℚ_p is a spectral set if and only if it tiles ℚ_p by translation.

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