Nir Lev

activity

20082026

most citedThe Fuglede conjecture for convex domains is true in all dimensions

96 citations · 393 across the 35 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019★ 17 cited

Riesz bases of exponentials for convex polytopes with symmetric faces

Alberto Debernardi, Nir Lev

We prove that for any convex polytope $Ω \subset R^{d}$ which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basi…

math.CA2019★ 96 cited

The Fuglede conjecture for convex domains is true in all dimensions

Nir Lev, Máté Matolcsi

A set $Ω \subset R^{d}$ is said to be spectral if the space $L^{2} (Ω)$ has an orthogonal basis of exponential functions. A conjecture due to Fuglede (1974) stated that $Ω$ is a…

math.CA2019★ 4 cited

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…