Nir Lev

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20242026

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math.MG2026

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 CieÅla and Sabok to prove that (i) if two measurable sets $A, B \subset R^{d}$ of the same measure are bounded remainder sets wit…

math.CA2026

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

Nir Lev, Anton Tselishchev

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

math.CA2026

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

Nir Lev, Anton Tselishchev

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

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

Gabor unconditional bases and frames in Lp(R)

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

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

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