Nir Lev

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20242026

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10 papers · 1 filter

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 $L^{p} (R)$ .…

math.CA2025

Schauder frames of discrete translates in $L^{2} (R)$

Nir Lev, Anton Tselishchev

We construct a uniformly discrete sequence ${I^»_{1} < I^»_{2} < \dots} \subset R$ and functions $g$ and ${g_{n}^{*}}$ in $L^{2} (R)$ , such that every $f \in L^2(\mathbb{…

math.CA2025

Schauder frames of discrete translates in $L^{p} (R)$

Nir Lev, Anton Tselishchev

For every $p > (1 + 5) /2$ we construct a uniformly discrete real sequence ${I^»_{n}}_{n = 1}^{\infty}$ satisfying $∣ I^»_{n} ∣ = n + o (1)$ , a function $g \in L^{p} (R)$ , and con…

math.CA2025

The TurÃ¡n and Delsarte problems and their duals

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

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…

Gabor unconditional bases and frames in Lp(R)

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

Schauder frames of discrete translates in L2(R)

Schauder frames of discrete translates in Lp(R)

The TurÃ¡n and Delsarte problems and their duals

Geometric implications of weak tiling

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

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

Schauder frames of discrete translates in $L^{2} (R)$

Schauder frames of discrete translates in $L^{p} (R)$