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 2016 · math.CAShow all

4 papers · 2 filters

math.CA2016★ 23 cited

Fourier frames for singular measures and pure type phenomena

Nir Lev

Let $μ$ be a positive measure on $R^{d}$ . It is known that if the space $L^{2} (μ)$ has a frame of exponentials then the measure $μ$ must be of "pure type": it is either discrete, absol…

math.CA2016★ 50 cited

Fuglede's spectral set conjecture for convex polytopes

Rachel Greenfeld, Nir Lev

Let $Ω$ be a convex polytope in $R^{d}$ . We say that $Ω$ is spectral if the space $L^{2} (Ω)$ admits an orthogonal basis consisting of exponential functions. There is a conject…

math.CA2016★ 15 cited

Spectrality and tiling by cylindric domains

Rachel Greenfeld, Nir Lev

A bounded set $Ω \subset R^{d}$ is called a spectral set if the space $L^{2} (Ω)$ admits a complete orthogonal system of exponential functions. We prove that a cylindric set $Ω$ …

math.CA2016

Riesz bases, Meyer's quasicrystals, and bounded remainder sets

Sigrid Grepstad, Nir Lev

We consider systems of exponentials with frequencies belonging to simple quasicrystals in $R^{d}$ . We ask if there exist domains $S$ in $R^{d}$ which admit such a sys…