Anton Tselishchev

activity

20242026

collaborators

10 papers

math.CA2026

A new example of crystalline-type measure with unit masses and an application to tiling of the real line by translates of a function

Anton Tselishchev

In this note we provide a simple explicit example of a discrete set $Λ \subset R$ of unbounded density such that the Fourier transform of its counting measure $δ_{Λ}$ …

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

Weighted Chui's conjecture

Evgueni Doubtsov, Anton Tselishchev, Ioann Vasilyev

The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb poten…

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…

A new example of crystalline-type measure with unit masses and an application to tiling of the real line by translates of a function

Gabor unconditional bases and frames in Lp(R)

Weighted Chui's conjecture

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)

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 $L^{p} (R)$