Shilei Fan

activity

20132026

Q_{p}

6 citations · 17 across the 18 of their papers we have counts for

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math.CA2026

Lower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfaces

Shilei Fan, Bochen Liu

We prove lower bounds for Fourier transforms of surface measures $$|\widehat{ψ\,dσ}(ξ)| \gtrsim_{ψ, K, σ, R_0} σ(B(p, |ξ|^{-1})), \text{ given }p\in K\Subset\{ψ>0\} ,\ \vec{n}_{p}\…

math.CA2015★ 6 cited

Fuglede's conjecture holds in $Q_{p}$

Aihua Fan, Shilei Fan, Lingmin Liao +1

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 $\math…

Lower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfaces

Fuglede's conjecture holds in Qp​

Fuglede's conjecture holds in $Q_{p}$