Anton Tselishchev

activity

20232026

most citedThere are no unconditional Schauder frames of translates in

L^{p} (R)

1 \leq p \leq 2

4 citations · 4 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.CA2026

There are no unconditional Schauder frames of exponentials in $L^{p}$ spaces, $p \neq = 2$

Nir Lev, Anton Tselishchev

We proved recently that there are no unconditional Schauder frames of exponentials in the space $L^{p} (Ω)$ , $1 \leq p < 2$ , for any set $Ω \subset R^{d}$ of finite measure. For…

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

math.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…

There are no unconditional Schauder frames of exponentials in Lp spaces, p=2

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

There are no unconditional Schauder frames of exponentials in $L^{p}$ spaces, $p \neq = 2$

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