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

40 papers

math.CA2026

Gabor unconditional bases and frames in $L^{p} (R)$

Nir Lev, Anton Tselishchev

We consider the following problem: given a set $Λ \subset R \times R$ and $p \neq = 2$ , does there exist a function $g \in L^{p} (R)$ such that the Gabor syste…

math.MG2025

Bounded remainder sets, bounded distance equivalent cut-and-project sets, and equidecomposability

Mark Mordechai Etkind, Sigrid Grepstad, Mihail N. Kolountzakis +1

We use the measurable Hall's theorem due to Cieśla and Sabok to prove that (i) if two measurable sets $A, B \subset R^{d}$ of the same measure are bounded remainder sets with…

math.CA2025

The Turán and Delsarte problems and their duals

Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi

We study two optimization problems for positive definite functions on Euclidean space with restrictions on their support and sign: the Turan problem and the Delsarte problem. These…

math.CA2025

Geometric implications of weak tiling

Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi

The notion of weak tiling played a key role in the proof of Fuglede's spectral set conjecture for convex domains, due to the fact that every spectral set must weakly tile its compl…

math.CA2025

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces

Nir Lev, Anton Tselishchev

It is known that there is no unconditional basis of exponentials in the space $L^{p} (Ω)$ , $p \neq = 2$ , for any set $Ω \subset R^{d}$ of finite measure. This is a consequence of a…

math.CA2025

Completeness of sparse, almost integer and finite local complexity sequences of translates in $L^{p} (R)$

Nir Lev, Anton Tselishchev

A real sequence $Λ = {λ_{n}}_{n = 1}^{\infty}$ is called $p$ -generating if there exists a function $g$ whose translates ${g (x - λ_{n})}_{n = 1}^{\infty}$ span the space $L^{p} (R)$ . Whi…

Gabor unconditional bases and frames in Lp(R)

Bounded remainder sets, bounded distance equivalent cut-and-project sets, and equidecomposability

The Turán and Delsarte problems and their duals

Geometric implications of weak tiling

Unconditional Schauder frames of exponentials and of uniformly bounded functions in Lp spaces

Completeness of sparse, almost integer and finite local complexity sequences of translates in Lp(R)

Gabor unconditional bases and frames in $L^{p} (R)$

Unconditional Schauder frames of exponentials and of uniformly bounded functions in $L^{p}$ spaces

Completeness of sparse, almost integer and finite local complexity sequences of translates in $L^{p} (R)$