Bochen Liu

activity

20122022

most citedIntersection between pencils of tubes, discretized sum-product, and radial projections

3 citations · 4 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019

Fourier frames for surface-carried measures

Alex Iosevich, Chun-Kit Lai, Bochen Liu +1

In this paper we show that the surface measure on the boundary of a convex body of everywhere positive Gaussian curvature does not admit a Fourier frame. This answers a question pr…

math.CA2019★ 1 cited

On Hausdorff dimension of radial projections

Bochen Liu

For any $x \in R^{d}$ , $d \geq 2$ , denote $π^{x} : R^{d} \ {x} \to S^{d - 1}$ as the radial projection $π^{x} (y) = \frac{y - x}{∣ y - x ∣} .$ Given a Borel set $E\sub…

math.CA2019

Spectrality of polytopes and equidecomposability by translations

Nir Lev, Bochen Liu

Let $A$ be a polytope in $R^{d}$ (not necessarily convex or connected). We say that $A$ is spectral if the space $L^{2} (A)$ has an orthogonal basis consisting of exponential f…